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Finding the Third Proportional to 203,484 and 334,022

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Solution

The third proportional to 203,484 and 334,022 is: 548,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484 : 334,022 = 334,022 : x
  2. Step 2: Convert to fraction form
    203,484/334,022 = 334,022/x
  3. Step 3: Cross multiply
    203,484x = 334,022 × 334,022
  4. Step 4: Simplify right side
    203,484x = 111,570,696,484
  5. Step 5: Solve for x
    x = 111,570,696,484/203,484
  6. Step 6: Final answer
    x = 548,302.06

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.