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Finding the Third Proportional to 221,307.19 and 474,168.94

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Solution

The third proportional to 221,307.19 and 474,168.94 is: 1,015,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,307.19 : 474,168.94 = 474,168.94 : x
  2. Step 2: Convert to fraction form
    221,307.19/474,168.94 = 474,168.94/x
  3. Step 3: Cross multiply
    221,307.19x = 474,168.94 × 474,168.94
  4. Step 4: Simplify right side
    221,307.19x = 224,836,181,289.88
  5. Step 5: Solve for x
    x = 224,836,181,289.88/221,307.19
  6. Step 6: Final answer
    x = 1,015,946.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.