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Finding the Third Proportional to 254,400.75 and 345,502.13

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Solution

The third proportional to 254,400.75 and 345,502.13 is: 469,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,400.75 : 345,502.13 = 345,502.13 : x
  2. Step 2: Convert to fraction form
    254,400.75/345,502.13 = 345,502.13/x
  3. Step 3: Cross multiply
    254,400.75x = 345,502.13 × 345,502.13
  4. Step 4: Simplify right side
    254,400.75x = 119,371,718,379.52
  5. Step 5: Solve for x
    x = 119,371,718,379.52/254,400.75
  6. Step 6: Final answer
    x = 469,227.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.