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Finding the Third Proportional to 95,278 and 208,700

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Solution

The third proportional to 95,278 and 208,700 is: 457,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,278 : 208,700 = 208,700 : x
  2. Step 2: Convert to fraction form
    95,278/208,700 = 208,700/x
  3. Step 3: Cross multiply
    95,278x = 208,700 × 208,700
  4. Step 4: Simplify right side
    95,278x = 43,555,690,000
  5. Step 5: Solve for x
    x = 43,555,690,000/95,278
  6. Step 6: Final answer
    x = 457,143.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.