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Finding the Third Proportional to 156,632.48 and 341,387.16

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Solution

The third proportional to 156,632.48 and 341,387.16 is: 744,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632.48 : 341,387.16 = 341,387.16 : x
  2. Step 2: Convert to fraction form
    156,632.48/341,387.16 = 341,387.16/x
  3. Step 3: Cross multiply
    156,632.48x = 341,387.16 × 341,387.16
  4. Step 4: Simplify right side
    156,632.48x = 116,545,190,452.46
  5. Step 5: Solve for x
    x = 116,545,190,452.46/156,632.48
  6. Step 6: Final answer
    x = 744,067.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.