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Finding the Third Proportional to 221,239 and 340,252.50

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Solution

The third proportional to 221,239 and 340,252.50 is: 523,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,239 : 340,252.50 = 340,252.50 : x
  2. Step 2: Convert to fraction form
    221,239/340,252.50 = 340,252.50/x
  3. Step 3: Cross multiply
    221,239x = 340,252.50 × 340,252.50
  4. Step 4: Simplify right side
    221,239x = 115,771,763,756.25
  5. Step 5: Solve for x
    x = 115,771,763,756.25/221,239
  6. Step 6: Final answer
    x = 523,288.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.