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Finding the Third Proportional to 162,544.50 and 215,677.13

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Solution

The third proportional to 162,544.50 and 215,677.13 is: 286,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,544.50 : 215,677.13 = 215,677.13 : x
  2. Step 2: Convert to fraction form
    162,544.50/215,677.13 = 215,677.13/x
  3. Step 3: Cross multiply
    162,544.50x = 215,677.13 × 215,677.13
  4. Step 4: Simplify right side
    162,544.50x = 46,516,622,248.27
  5. Step 5: Solve for x
    x = 46,516,622,248.27/162,544.50
  6. Step 6: Final answer
    x = 286,177.77

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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.