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Finding the Third Proportional to 157,585.69 and 236,539.92

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Solution

The third proportional to 157,585.69 and 236,539.92 is: 355,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.69 : 236,539.92 = 236,539.92 : x
  2. Step 2: Convert to fraction form
    157,585.69/236,539.92 = 236,539.92/x
  3. Step 3: Cross multiply
    157,585.69x = 236,539.92 × 236,539.92
  4. Step 4: Simplify right side
    157,585.69x = 55,951,134,640.63
  5. Step 5: Solve for x
    x = 55,951,134,640.63/157,585.69
  6. Step 6: Final answer
    x = 355,052.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.