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Finding the Third Proportional to 147,764 and 234,016

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Solution

The third proportional to 147,764 and 234,016 is: 370,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764 : 234,016 = 234,016 : x
  2. Step 2: Convert to fraction form
    147,764/234,016 = 234,016/x
  3. Step 3: Cross multiply
    147,764x = 234,016 × 234,016
  4. Step 4: Simplify right side
    147,764x = 54,763,488,256
  5. Step 5: Solve for x
    x = 54,763,488,256/147,764
  6. Step 6: Final answer
    x = 370,614.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.