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Finding the Third Proportional to 159,149.25 and 216,271.13

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Solution

The third proportional to 159,149.25 and 216,271.13 is: 293,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.25 : 216,271.13 = 216,271.13 : x
  2. Step 2: Convert to fraction form
    159,149.25/216,271.13 = 216,271.13/x
  3. Step 3: Cross multiply
    159,149.25x = 216,271.13 × 216,271.13
  4. Step 4: Simplify right side
    159,149.25x = 46,773,199,508.77
  5. Step 5: Solve for x
    x = 46,773,199,508.77/159,149.25
  6. Step 6: Final answer
    x = 293,895.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.