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Finding the Third Proportional to 82,430.75 and 176,522.50

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Solution

The third proportional to 82,430.75 and 176,522.50 is: 378,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430.75 : 176,522.50 = 176,522.50 : x
  2. Step 2: Convert to fraction form
    82,430.75/176,522.50 = 176,522.50/x
  3. Step 3: Cross multiply
    82,430.75x = 176,522.50 × 176,522.50
  4. Step 4: Simplify right side
    82,430.75x = 31,160,193,006.25
  5. Step 5: Solve for x
    x = 31,160,193,006.25/82,430.75
  6. Step 6: Final answer
    x = 378,016.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.