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Finding the Third Proportional to 176,421.38 and 382,002.75

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Solution

The third proportional to 176,421.38 and 382,002.75 is: 827,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,421.38 : 382,002.75 = 382,002.75 : x
  2. Step 2: Convert to fraction form
    176,421.38/382,002.75 = 382,002.75/x
  3. Step 3: Cross multiply
    176,421.38x = 382,002.75 × 382,002.75
  4. Step 4: Simplify right side
    176,421.38x = 145,926,101,007.56
  5. Step 5: Solve for x
    x = 145,926,101,007.56/176,421.38
  6. Step 6: Final answer
    x = 827,145.24

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Why These Related Problems?

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