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Finding the Third Proportional to 272,166 and 423,156

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Solution

The third proportional to 272,166 and 423,156 is: 657,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,166 : 423,156 = 423,156 : x
  2. Step 2: Convert to fraction form
    272,166/423,156 = 423,156/x
  3. Step 3: Cross multiply
    272,166x = 423,156 × 423,156
  4. Step 4: Simplify right side
    272,166x = 179,061,000,336
  5. Step 5: Solve for x
    x = 179,061,000,336/272,166
  6. Step 6: Final answer
    x = 657,910.98

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