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Finding the Third Proportional to 95,282 and 214,841

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Solution

The third proportional to 95,282 and 214,841 is: 484,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,282 : 214,841 = 214,841 : x
  2. Step 2: Convert to fraction form
    95,282/214,841 = 214,841/x
  3. Step 3: Cross multiply
    95,282x = 214,841 × 214,841
  4. Step 4: Simplify right side
    95,282x = 46,156,655,281
  5. Step 5: Solve for x
    x = 46,156,655,281/95,282
  6. Step 6: Final answer
    x = 484,421.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.