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Finding the Third Proportional to 199,444.94 and 299,371.47

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Solution

The third proportional to 199,444.94 and 299,371.47 is: 449,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,444.94 : 299,371.47 = 299,371.47 : x
  2. Step 2: Convert to fraction form
    199,444.94/299,371.47 = 299,371.47/x
  3. Step 3: Cross multiply
    199,444.94x = 299,371.47 × 299,371.47
  4. Step 4: Simplify right side
    199,444.94x = 89,623,276,301.53
  5. Step 5: Solve for x
    x = 89,623,276,301.53/199,444.94
  6. Step 6: Final answer
    x = 449,363.51

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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.