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Finding the Third Proportional to 193,677.75 and 282,811.50

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Solution

The third proportional to 193,677.75 and 282,811.50 is: 412,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,677.75 : 282,811.50 = 282,811.50 : x
  2. Step 2: Convert to fraction form
    193,677.75/282,811.50 = 282,811.50/x
  3. Step 3: Cross multiply
    193,677.75x = 282,811.50 × 282,811.50
  4. Step 4: Simplify right side
    193,677.75x = 79,982,344,532.25
  5. Step 5: Solve for x
    x = 79,982,344,532.25/193,677.75
  6. Step 6: Final answer
    x = 412,966.10

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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.