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Finding the Third Proportional to 234,320.25 and 354,767.25

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Solution

The third proportional to 234,320.25 and 354,767.25 is: 537,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,320.25 : 354,767.25 = 354,767.25 : x
  2. Step 2: Convert to fraction form
    234,320.25/354,767.25 = 354,767.25/x
  3. Step 3: Cross multiply
    234,320.25x = 354,767.25 × 354,767.25
  4. Step 4: Simplify right side
    234,320.25x = 125,859,801,672.56
  5. Step 5: Solve for x
    x = 125,859,801,672.56/234,320.25
  6. Step 6: Final answer
    x = 537,127.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.