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Finding the Third Proportional to 216,727.50 and 287,572.50

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Solution

The third proportional to 216,727.50 and 287,572.50 is: 381,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,727.50 : 287,572.50 = 287,572.50 : x
  2. Step 2: Convert to fraction form
    216,727.50/287,572.50 = 287,572.50/x
  3. Step 3: Cross multiply
    216,727.50x = 287,572.50 × 287,572.50
  4. Step 4: Simplify right side
    216,727.50x = 82,697,942,756.25
  5. Step 5: Solve for x
    x = 82,697,942,756.25/216,727.50
  6. Step 6: Final answer
    x = 381,575.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.