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Finding the Third Proportional to 95,327 and 205,430

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Solution

The third proportional to 95,327 and 205,430 is: 442,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,327 : 205,430 = 205,430 : x
  2. Step 2: Convert to fraction form
    95,327/205,430 = 205,430/x
  3. Step 3: Cross multiply
    95,327x = 205,430 × 205,430
  4. Step 4: Simplify right side
    95,327x = 42,201,484,900
  5. Step 5: Solve for x
    x = 42,201,484,900/95,327
  6. Step 6: Final answer
    x = 442,702.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.