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Finding the Third Proportional to 157,543.22 and 242,155.22

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Solution

The third proportional to 157,543.22 and 242,155.22 is: 372,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543.22 : 242,155.22 = 242,155.22 : x
  2. Step 2: Convert to fraction form
    157,543.22/242,155.22 = 242,155.22/x
  3. Step 3: Cross multiply
    157,543.22x = 242,155.22 × 242,155.22
  4. Step 4: Simplify right side
    157,543.22x = 58,639,149,967.86
  5. Step 5: Solve for x
    x = 58,639,149,967.86/157,543.22
  6. Step 6: Final answer
    x = 372,209.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.