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Finding the Third Proportional to 155,221 and 332,584

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Solution

The third proportional to 155,221 and 332,584 is: 712,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,221 : 332,584 = 332,584 : x
  2. Step 2: Convert to fraction form
    155,221/332,584 = 332,584/x
  3. Step 3: Cross multiply
    155,221x = 332,584 × 332,584
  4. Step 4: Simplify right side
    155,221x = 110,612,117,056
  5. Step 5: Solve for x
    x = 110,612,117,056/155,221
  6. Step 6: Final answer
    x = 712,610.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.