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Finding the Third Proportional to 149,786 and 227,762

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Solution

The third proportional to 149,786 and 227,762 is: 346,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,786 : 227,762 = 227,762 : x
  2. Step 2: Convert to fraction form
    149,786/227,762 = 227,762/x
  3. Step 3: Cross multiply
    149,786x = 227,762 × 227,762
  4. Step 4: Simplify right side
    149,786x = 51,875,528,644
  5. Step 5: Solve for x
    x = 51,875,528,644/149,786
  6. Step 6: Final answer
    x = 346,330.96

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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.