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Finding the Third Proportional to 85,716 and 191,304

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Solution

The third proportional to 85,716 and 191,304 is: 426,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716 : 191,304 = 191,304 : x
  2. Step 2: Convert to fraction form
    85,716/191,304 = 191,304/x
  3. Step 3: Cross multiply
    85,716x = 191,304 × 191,304
  4. Step 4: Simplify right side
    85,716x = 36,597,220,416
  5. Step 5: Solve for x
    x = 36,597,220,416/85,716
  6. Step 6: Final answer
    x = 426,959.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.