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Finding the Third Proportional to 157,554 and 236,448

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Solution

The third proportional to 157,554 and 236,448 is: 354,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,554 : 236,448 = 236,448 : x
  2. Step 2: Convert to fraction form
    157,554/236,448 = 236,448/x
  3. Step 3: Cross multiply
    157,554x = 236,448 × 236,448
  4. Step 4: Simplify right side
    157,554x = 55,907,656,704
  5. Step 5: Solve for x
    x = 55,907,656,704/157,554
  6. Step 6: Final answer
    x = 354,847.59

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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.