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Finding the Third Proportional to 147,466 and 226,795

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Solution

The third proportional to 147,466 and 226,795 is: 348,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,466 : 226,795 = 226,795 : x
  2. Step 2: Convert to fraction form
    147,466/226,795 = 226,795/x
  3. Step 3: Cross multiply
    147,466x = 226,795 × 226,795
  4. Step 4: Simplify right side
    147,466x = 51,435,972,025
  5. Step 5: Solve for x
    x = 51,435,972,025/147,466
  6. Step 6: Final answer
    x = 348,798.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.