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Finding the Third Proportional to 151,520 and 332,584

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Solution

The third proportional to 151,520 and 332,584 is: 730,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,520 : 332,584 = 332,584 : x
  2. Step 2: Convert to fraction form
    151,520/332,584 = 332,584/x
  3. Step 3: Cross multiply
    151,520x = 332,584 × 332,584
  4. Step 4: Simplify right side
    151,520x = 110,612,117,056
  5. Step 5: Solve for x
    x = 110,612,117,056/151,520
  6. Step 6: Final answer
    x = 730,016.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.