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Finding the Third Proportional to 151,730 and 332,485

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Solution

The third proportional to 151,730 and 332,485 is: 728,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,730 : 332,485 = 332,485 : x
  2. Step 2: Convert to fraction form
    151,730/332,485 = 332,485/x
  3. Step 3: Cross multiply
    151,730x = 332,485 × 332,485
  4. Step 4: Simplify right side
    151,730x = 110,546,275,225
  5. Step 5: Solve for x
    x = 110,546,275,225/151,730
  6. Step 6: Final answer
    x = 728,572.30

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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.