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Finding the Third Proportional to 208,143 and 447,882

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Solution

The third proportional to 208,143 and 447,882 is: 963,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143 : 447,882 = 447,882 : x
  2. Step 2: Convert to fraction form
    208,143/447,882 = 447,882/x
  3. Step 3: Cross multiply
    208,143x = 447,882 × 447,882
  4. Step 4: Simplify right side
    208,143x = 200,598,285,924
  5. Step 5: Solve for x
    x = 200,598,285,924/208,143
  6. Step 6: Final answer
    x = 963,752.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.