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Finding the Third Proportional to 180,265.50 and 282,772.13

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Solution

The third proportional to 180,265.50 and 282,772.13 is: 443,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,265.50 : 282,772.13 = 282,772.13 : x
  2. Step 2: Convert to fraction form
    180,265.50/282,772.13 = 282,772.13/x
  3. Step 3: Cross multiply
    180,265.50x = 282,772.13 × 282,772.13
  4. Step 4: Simplify right side
    180,265.50x = 79,960,074,677.02
  5. Step 5: Solve for x
    x = 79,960,074,677.02/180,265.50
  6. Step 6: Final answer
    x = 443,568.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.