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Finding the Third Proportional to 173,127.38 and 260,830.13

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Solution

The third proportional to 173,127.38 and 260,830.13 is: 392,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,127.38 : 260,830.13 = 260,830.13 : x
  2. Step 2: Convert to fraction form
    173,127.38/260,830.13 = 260,830.13/x
  3. Step 3: Cross multiply
    173,127.38x = 260,830.13 × 260,830.13
  4. Step 4: Simplify right side
    173,127.38x = 68,032,354,107.52
  5. Step 5: Solve for x
    x = 68,032,354,107.52/173,127.38
  6. Step 6: Final answer
    x = 392,961.28

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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.