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Finding the Third Proportional to 176,310.84 and 268,597.27

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Solution

The third proportional to 176,310.84 and 268,597.27 is: 409,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,310.84 : 268,597.27 = 268,597.27 : x
  2. Step 2: Convert to fraction form
    176,310.84/268,597.27 = 268,597.27/x
  3. Step 3: Cross multiply
    176,310.84x = 268,597.27 × 268,597.27
  4. Step 4: Simplify right side
    176,310.84x = 72,144,491,101.23
  5. Step 5: Solve for x
    x = 72,144,491,101.23/176,310.84
  6. Step 6: Final answer
    x = 409,189.19

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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.