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Finding the Third Proportional to 204,498 and 299,871

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Solution

The third proportional to 204,498 and 299,871 is: 439,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498 : 299,871 = 299,871 : x
  2. Step 2: Convert to fraction form
    204,498/299,871 = 299,871/x
  3. Step 3: Cross multiply
    204,498x = 299,871 × 299,871
  4. Step 4: Simplify right side
    204,498x = 89,922,616,641
  5. Step 5: Solve for x
    x = 89,922,616,641/204,498
  6. Step 6: Final answer
    x = 439,723.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.