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Finding the Third Proportional to 157,594 and 340,448

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Solution

The third proportional to 157,594 and 340,448 is: 735,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,594 : 340,448 = 340,448 : x
  2. Step 2: Convert to fraction form
    157,594/340,448 = 340,448/x
  3. Step 3: Cross multiply
    157,594x = 340,448 × 340,448
  4. Step 4: Simplify right side
    157,594x = 115,904,840,704
  5. Step 5: Solve for x
    x = 115,904,840,704/157,594
  6. Step 6: Final answer
    x = 735,464.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.