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Finding the Third Proportional to 166,366.13 and 260,641.13

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Solution

The third proportional to 166,366.13 and 260,641.13 is: 408,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,366.13 : 260,641.13 = 260,641.13 : x
  2. Step 2: Convert to fraction form
    166,366.13/260,641.13 = 260,641.13/x
  3. Step 3: Cross multiply
    166,366.13x = 260,641.13 × 260,641.13
  4. Step 4: Simplify right side
    166,366.13x = 67,933,796,041.27
  5. Step 5: Solve for x
    x = 67,933,796,041.27/166,366.13
  6. Step 6: Final answer
    x = 408,339.11

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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.