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Finding the Third Proportional to 176,590.13 and 382,318.88

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Solution

The third proportional to 176,590.13 and 382,318.88 is: 827,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,590.13 : 382,318.88 = 382,318.88 : x
  2. Step 2: Convert to fraction form
    176,590.13/382,318.88 = 382,318.88/x
  3. Step 3: Cross multiply
    176,590.13x = 382,318.88 × 382,318.88
  4. Step 4: Simplify right side
    176,590.13x = 146,167,722,181.27
  5. Step 5: Solve for x
    x = 146,167,722,181.27/176,590.13
  6. Step 6: Final answer
    x = 827,723.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.