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Finding the Third Proportional to 169,566 and 262,438.13

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Solution

The third proportional to 169,566 and 262,438.13 is: 406,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,566 : 262,438.13 = 262,438.13 : x
  2. Step 2: Convert to fraction form
    169,566/262,438.13 = 262,438.13/x
  3. Step 3: Cross multiply
    169,566x = 262,438.13 × 262,438.13
  4. Step 4: Simplify right side
    169,566x = 68,873,769,453.52
  5. Step 5: Solve for x
    x = 68,873,769,453.52/169,566
  6. Step 6: Final answer
    x = 406,176.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.