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Finding the Third Proportional to 169,266.23 and 262,937.81

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Solution

The third proportional to 169,266.23 and 262,937.81 is: 408,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,266.23 : 262,937.81 = 262,937.81 : x
  2. Step 2: Convert to fraction form
    169,266.23/262,937.81 = 262,937.81/x
  3. Step 3: Cross multiply
    169,266.23x = 262,937.81 × 262,937.81
  4. Step 4: Simplify right side
    169,266.23x = 69,136,293,242.29
  5. Step 5: Solve for x
    x = 69,136,293,242.29/169,266.23
  6. Step 6: Final answer
    x = 408,447.04

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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.