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Finding the Third Proportional to 176,076 and 272,758

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Solution

The third proportional to 176,076 and 272,758 is: 422,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076 : 272,758 = 272,758 : x
  2. Step 2: Convert to fraction form
    176,076/272,758 = 272,758/x
  3. Step 3: Cross multiply
    176,076x = 272,758 × 272,758
  4. Step 4: Simplify right side
    176,076x = 74,396,926,564
  5. Step 5: Solve for x
    x = 74,396,926,564/176,076
  6. Step 6: Final answer
    x = 422,527.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.