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Finding the Third Proportional to 169,538.81 and 230,882.63

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Solution

The third proportional to 169,538.81 and 230,882.63 is: 314,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538.81 : 230,882.63 = 230,882.63 : x
  2. Step 2: Convert to fraction form
    169,538.81/230,882.63 = 230,882.63/x
  3. Step 3: Cross multiply
    169,538.81x = 230,882.63 × 230,882.63
  4. Step 4: Simplify right side
    169,538.81x = 53,306,786,526.89
  5. Step 5: Solve for x
    x = 53,306,786,526.89/169,538.81
  6. Step 6: Final answer
    x = 314,422.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.