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Finding the Third Proportional to 159,309 and 244,491.75

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Solution

The third proportional to 159,309 and 244,491.75 is: 375,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,309 : 244,491.75 = 244,491.75 : x
  2. Step 2: Convert to fraction form
    159,309/244,491.75 = 244,491.75/x
  3. Step 3: Cross multiply
    159,309x = 244,491.75 × 244,491.75
  4. Step 4: Simplify right side
    159,309x = 59,776,215,818.06
  5. Step 5: Solve for x
    x = 59,776,215,818.06/159,309
  6. Step 6: Final answer
    x = 375,221.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.