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Finding the Third Proportional to 169,030.13 and 263,234.81

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Solution

The third proportional to 169,030.13 and 263,234.81 is: 409,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,030.13 : 263,234.81 = 263,234.81 : x
  2. Step 2: Convert to fraction form
    169,030.13/263,234.81 = 263,234.81/x
  3. Step 3: Cross multiply
    169,030.13x = 263,234.81 × 263,234.81
  4. Step 4: Simplify right side
    169,030.13x = 69,292,566,511.91
  5. Step 5: Solve for x
    x = 69,292,566,511.91/169,030.13
  6. Step 6: Final answer
    x = 409,942.11

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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.