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Finding the Third Proportional to 151,285 and 325,909

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Solution

The third proportional to 151,285 and 325,909 is: 702,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,285 : 325,909 = 325,909 : x
  2. Step 2: Convert to fraction form
    151,285/325,909 = 325,909/x
  3. Step 3: Cross multiply
    151,285x = 325,909 × 325,909
  4. Step 4: Simplify right side
    151,285x = 106,216,676,281
  5. Step 5: Solve for x
    x = 106,216,676,281/151,285
  6. Step 6: Final answer
    x = 702,096.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.