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Finding the Third Proportional to 82,165.50 and 176,782.50

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Solution

The third proportional to 82,165.50 and 176,782.50 is: 380,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.50 : 176,782.50 = 176,782.50 : x
  2. Step 2: Convert to fraction form
    82,165.50/176,782.50 = 176,782.50/x
  3. Step 3: Cross multiply
    82,165.50x = 176,782.50 × 176,782.50
  4. Step 4: Simplify right side
    82,165.50x = 31,252,052,306.25
  5. Step 5: Solve for x
    x = 31,252,052,306.25/82,165.50
  6. Step 6: Final answer
    x = 380,354.92

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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.