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Finding the Third Proportional to 225,788.63 and 309,610.13

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Solution

The third proportional to 225,788.63 and 309,610.13 is: 424,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,788.63 : 309,610.13 = 309,610.13 : x
  2. Step 2: Convert to fraction form
    225,788.63/309,610.13 = 309,610.13/x
  3. Step 3: Cross multiply
    225,788.63x = 309,610.13 × 309,610.13
  4. Step 4: Simplify right side
    225,788.63x = 95,858,429,502.52
  5. Step 5: Solve for x
    x = 95,858,429,502.52/225,788.63
  6. Step 6: Final answer
    x = 424,549.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.