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Finding the Third Proportional to 158,032 and 230,808

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Solution

The third proportional to 158,032 and 230,808 is: 337,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,032 : 230,808 = 230,808 : x
  2. Step 2: Convert to fraction form
    158,032/230,808 = 230,808/x
  3. Step 3: Cross multiply
    158,032x = 230,808 × 230,808
  4. Step 4: Simplify right side
    158,032x = 53,272,332,864
  5. Step 5: Solve for x
    x = 53,272,332,864/158,032
  6. Step 6: Final answer
    x = 337,098.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.