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Finding the Third Proportional to 193,114.13 and 282,757.50

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Solution

The third proportional to 193,114.13 and 282,757.50 is: 414,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,114.13 : 282,757.50 = 282,757.50 : x
  2. Step 2: Convert to fraction form
    193,114.13/282,757.50 = 282,757.50/x
  3. Step 3: Cross multiply
    193,114.13x = 282,757.50 × 282,757.50
  4. Step 4: Simplify right side
    193,114.13x = 79,951,803,806.25
  5. Step 5: Solve for x
    x = 79,951,803,806.25/193,114.13
  6. Step 6: Final answer
    x = 414,013.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.