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Finding the Third Proportional to 130,018.25 and 206,301.75

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Solution

The third proportional to 130,018.25 and 206,301.75 is: 327,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,018.25 : 206,301.75 = 206,301.75 : x
  2. Step 2: Convert to fraction form
    130,018.25/206,301.75 = 206,301.75/x
  3. Step 3: Cross multiply
    130,018.25x = 206,301.75 × 206,301.75
  4. Step 4: Simplify right side
    130,018.25x = 42,560,412,053.06
  5. Step 5: Solve for x
    x = 42,560,412,053.06/130,018.25
  6. Step 6: Final answer
    x = 327,341.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.