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Finding the Third Proportional to 158,776 and 231,483

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Solution

The third proportional to 158,776 and 231,483 is: 337,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,776 : 231,483 = 231,483 : x
  2. Step 2: Convert to fraction form
    158,776/231,483 = 231,483/x
  3. Step 3: Cross multiply
    158,776x = 231,483 × 231,483
  4. Step 4: Simplify right side
    158,776x = 53,584,379,289
  5. Step 5: Solve for x
    x = 53,584,379,289/158,776
  6. Step 6: Final answer
    x = 337,484.12

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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.