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Finding the Third Proportional to 169,048.13 and 263,266.88

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Solution

The third proportional to 169,048.13 and 263,266.88 is: 409,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,048.13 : 263,266.88 = 263,266.88 : x
  2. Step 2: Convert to fraction form
    169,048.13/263,266.88 = 263,266.88/x
  3. Step 3: Cross multiply
    169,048.13x = 263,266.88 × 263,266.88
  4. Step 4: Simplify right side
    169,048.13x = 69,309,447,472.27
  5. Step 5: Solve for x
    x = 69,309,447,472.27/169,048.13
  6. Step 6: Final answer
    x = 409,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.