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Finding the Third Proportional to 172,874.25 and 233,047.13

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Solution

The third proportional to 172,874.25 and 233,047.13 is: 314,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,874.25 : 233,047.13 = 233,047.13 : x
  2. Step 2: Convert to fraction form
    172,874.25/233,047.13 = 233,047.13/x
  3. Step 3: Cross multiply
    172,874.25x = 233,047.13 × 233,047.13
  4. Step 4: Simplify right side
    172,874.25x = 54,310,962,470.77
  5. Step 5: Solve for x
    x = 54,310,962,470.77/172,874.25
  6. Step 6: Final answer
    x = 314,164.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.