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Finding the Third Proportional to 119,932.50 and 243,982.50

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Solution

The third proportional to 119,932.50 and 243,982.50 is: 496,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,932.50 : 243,982.50 = 243,982.50 : x
  2. Step 2: Convert to fraction form
    119,932.50/243,982.50 = 243,982.50/x
  3. Step 3: Cross multiply
    119,932.50x = 243,982.50 × 243,982.50
  4. Step 4: Simplify right side
    119,932.50x = 59,527,460,306.25
  5. Step 5: Solve for x
    x = 59,527,460,306.25/119,932.50
  6. Step 6: Final answer
    x = 496,341.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.