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Finding the Third Proportional to 200,119.50 and 299,472.75

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Solution

The third proportional to 200,119.50 and 299,472.75 is: 448,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,119.50 : 299,472.75 = 299,472.75 : x
  2. Step 2: Convert to fraction form
    200,119.50/299,472.75 = 299,472.75/x
  3. Step 3: Cross multiply
    200,119.50x = 299,472.75 × 299,472.75
  4. Step 4: Simplify right side
    200,119.50x = 89,683,927,992.56
  5. Step 5: Solve for x
    x = 89,683,927,992.56/200,119.50
  6. Step 6: Final answer
    x = 448,151.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.