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Finding the Third Proportional to 153,841 and 332,287

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Solution

The third proportional to 153,841 and 332,287 is: 717,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,841 : 332,287 = 332,287 : x
  2. Step 2: Convert to fraction form
    153,841/332,287 = 332,287/x
  3. Step 3: Cross multiply
    153,841x = 332,287 × 332,287
  4. Step 4: Simplify right side
    153,841x = 110,414,650,369
  5. Step 5: Solve for x
    x = 110,414,650,369/153,841
  6. Step 6: Final answer
    x = 717,719.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.