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Finding the Third Proportional to 145,711.72 and 224,796.83

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Solution

The third proportional to 145,711.72 and 224,796.83 is: 346,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,711.72 : 224,796.83 = 224,796.83 : x
  2. Step 2: Convert to fraction form
    145,711.72/224,796.83 = 224,796.83/x
  3. Step 3: Cross multiply
    145,711.72x = 224,796.83 × 224,796.83
  4. Step 4: Simplify right side
    145,711.72x = 50,533,615,691.29
  5. Step 5: Solve for x
    x = 50,533,615,691.29/145,711.72
  6. Step 6: Final answer
    x = 346,805.42

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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.