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Finding the Third Proportional to 177,226 and 272,408

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Solution

The third proportional to 177,226 and 272,408 is: 418,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,226 : 272,408 = 272,408 : x
  2. Step 2: Convert to fraction form
    177,226/272,408 = 272,408/x
  3. Step 3: Cross multiply
    177,226x = 272,408 × 272,408
  4. Step 4: Simplify right side
    177,226x = 74,206,118,464
  5. Step 5: Solve for x
    x = 74,206,118,464/177,226
  6. Step 6: Final answer
    x = 418,708.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.