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Finding the Third Proportional to 178,156 and 391,304

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Solution

The third proportional to 178,156 and 391,304 is: 859,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,156 : 391,304 = 391,304 : x
  2. Step 2: Convert to fraction form
    178,156/391,304 = 391,304/x
  3. Step 3: Cross multiply
    178,156x = 391,304 × 391,304
  4. Step 4: Simplify right side
    178,156x = 153,118,820,416
  5. Step 5: Solve for x
    x = 153,118,820,416/178,156
  6. Step 6: Final answer
    x = 859,464.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.