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Finding the Third Proportional to 176,320.13 and 268,606.13

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Solution

The third proportional to 176,320.13 and 268,606.13 is: 409,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320.13 : 268,606.13 = 268,606.13 : x
  2. Step 2: Convert to fraction form
    176,320.13/268,606.13 = 268,606.13/x
  3. Step 3: Cross multiply
    176,320.13x = 268,606.13 × 268,606.13
  4. Step 4: Simplify right side
    176,320.13x = 72,149,250,387.52
  5. Step 5: Solve for x
    x = 72,149,250,387.52/176,320.13
  6. Step 6: Final answer
    x = 409,194.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.