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Finding the Third Proportional to 142,434.75 and 225,543.38

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Solution

The third proportional to 142,434.75 and 225,543.38 is: 357,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434.75 : 225,543.38 = 225,543.38 : x
  2. Step 2: Convert to fraction form
    142,434.75/225,543.38 = 225,543.38/x
  3. Step 3: Cross multiply
    142,434.75x = 225,543.38 × 225,543.38
  4. Step 4: Simplify right side
    142,434.75x = 50,869,814,006.39
  5. Step 5: Solve for x
    x = 50,869,814,006.39/142,434.75
  6. Step 6: Final answer
    x = 357,144.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.