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Finding the Third Proportional to 82,237.50 and 170,938.88

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Solution

The third proportional to 82,237.50 and 170,938.88 is: 355,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,237.50 : 170,938.88 = 170,938.88 : x
  2. Step 2: Convert to fraction form
    82,237.50/170,938.88 = 170,938.88/x
  3. Step 3: Cross multiply
    82,237.50x = 170,938.88 × 170,938.88
  4. Step 4: Simplify right side
    82,237.50x = 29,220,098,986.27
  5. Step 5: Solve for x
    x = 29,220,098,986.27/82,237.50
  6. Step 6: Final answer
    x = 355,313.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.