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Finding the Third Proportional to 152,543.25 and 225,700.96

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Solution

The third proportional to 152,543.25 and 225,700.96 is: 333,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,543.25 : 225,700.96 = 225,700.96 : x
  2. Step 2: Convert to fraction form
    152,543.25/225,700.96 = 225,700.96/x
  3. Step 3: Cross multiply
    152,543.25x = 225,700.96 × 225,700.96
  4. Step 4: Simplify right side
    152,543.25x = 50,940,924,649.75
  5. Step 5: Solve for x
    x = 50,940,924,649.75/152,543.25
  6. Step 6: Final answer
    x = 333,944.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.