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Finding the Third Proportional to 84,598 and 200,416

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Solution

The third proportional to 84,598 and 200,416 is: 474,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,598 : 200,416 = 200,416 : x
  2. Step 2: Convert to fraction form
    84,598/200,416 = 200,416/x
  3. Step 3: Cross multiply
    84,598x = 200,416 × 200,416
  4. Step 4: Simplify right side
    84,598x = 40,166,573,056
  5. Step 5: Solve for x
    x = 40,166,573,056/84,598
  6. Step 6: Final answer
    x = 474,793.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.