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Finding the Third Proportional to 176,987.53 and 265,481.30

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Solution

The third proportional to 176,987.53 and 265,481.30 is: 398,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,987.53 : 265,481.30 = 265,481.30 : x
  2. Step 2: Convert to fraction form
    176,987.53/265,481.30 = 265,481.30/x
  3. Step 3: Cross multiply
    176,987.53x = 265,481.30 × 265,481.30
  4. Step 4: Simplify right side
    176,987.53x = 70,480,318,990.43
  5. Step 5: Solve for x
    x = 70,480,318,990.43/176,987.53
  6. Step 6: Final answer
    x = 398,221.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.