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Finding the Third Proportional to 142,624 and 226,032

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Solution

The third proportional to 142,624 and 226,032 is: 358,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,624 : 226,032 = 226,032 : x
  2. Step 2: Convert to fraction form
    142,624/226,032 = 226,032/x
  3. Step 3: Cross multiply
    142,624x = 226,032 × 226,032
  4. Step 4: Simplify right side
    142,624x = 51,090,465,024
  5. Step 5: Solve for x
    x = 51,090,465,024/142,624
  6. Step 6: Final answer
    x = 358,217.87

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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.