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Finding the Third Proportional to 149,776 and 227,739

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Solution

The third proportional to 149,776 and 227,739 is: 346,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,776 : 227,739 = 227,739 : x
  2. Step 2: Convert to fraction form
    149,776/227,739 = 227,739/x
  3. Step 3: Cross multiply
    149,776x = 227,739 × 227,739
  4. Step 4: Simplify right side
    149,776x = 51,865,052,121
  5. Step 5: Solve for x
    x = 51,865,052,121/149,776
  6. Step 6: Final answer
    x = 346,284.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.