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Finding the Third Proportional to 153,846 and 332,295

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Solution

The third proportional to 153,846 and 332,295 is: 717,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846 : 332,295 = 332,295 : x
  2. Step 2: Convert to fraction form
    153,846/332,295 = 332,295/x
  3. Step 3: Cross multiply
    153,846x = 332,295 × 332,295
  4. Step 4: Simplify right side
    153,846x = 110,419,967,025
  5. Step 5: Solve for x
    x = 110,419,967,025/153,846
  6. Step 6: Final answer
    x = 717,730.50

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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.