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Finding the Third Proportional to 156,507.19 and 226,081.13

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Solution

The third proportional to 156,507.19 and 226,081.13 is: 326,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,507.19 : 226,081.13 = 226,081.13 : x
  2. Step 2: Convert to fraction form
    156,507.19/226,081.13 = 226,081.13/x
  3. Step 3: Cross multiply
    156,507.19x = 226,081.13 × 226,081.13
  4. Step 4: Simplify right side
    156,507.19x = 51,112,675,081.27
  5. Step 5: Solve for x
    x = 51,112,675,081.27/156,507.19
  6. Step 6: Final answer
    x = 326,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.