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Finding the Third Proportional to 177,501.38 and 382,066.88

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Solution

The third proportional to 177,501.38 and 382,066.88 is: 822,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,501.38 : 382,066.88 = 382,066.88 : x
  2. Step 2: Convert to fraction form
    177,501.38/382,066.88 = 382,066.88/x
  3. Step 3: Cross multiply
    177,501.38x = 382,066.88 × 382,066.88
  4. Step 4: Simplify right side
    177,501.38x = 145,975,096,972.27
  5. Step 5: Solve for x
    x = 145,975,096,972.27/177,501.38
  6. Step 6: Final answer
    x = 822,388.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.