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Finding the Third Proportional to 232,280 and 351,627

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Solution

The third proportional to 232,280 and 351,627 is: 532,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,280 : 351,627 = 351,627 : x
  2. Step 2: Convert to fraction form
    232,280/351,627 = 351,627/x
  3. Step 3: Cross multiply
    232,280x = 351,627 × 351,627
  4. Step 4: Simplify right side
    232,280x = 123,641,547,129
  5. Step 5: Solve for x
    x = 123,641,547,129/232,280
  6. Step 6: Final answer
    x = 532,295.28

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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.