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Finding the Third Proportional to 155,257.88 and 332,649

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Solution

The third proportional to 155,257.88 and 332,649 is: 712,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,257.88 : 332,649 = 332,649 : x
  2. Step 2: Convert to fraction form
    155,257.88/332,649 = 332,649/x
  3. Step 3: Cross multiply
    155,257.88x = 332,649 × 332,649
  4. Step 4: Simplify right side
    155,257.88x = 110,655,357,201
  5. Step 5: Solve for x
    x = 110,655,357,201/155,257.88
  6. Step 6: Final answer
    x = 712,719.77

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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.