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Finding the Third Proportional to 95,346 and 205,596

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Solution

The third proportional to 95,346 and 205,596 is: 443,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 205,596 = 205,596 : x
  2. Step 2: Convert to fraction form
    95,346/205,596 = 205,596/x
  3. Step 3: Cross multiply
    95,346x = 205,596 × 205,596
  4. Step 4: Simplify right side
    95,346x = 42,269,715,216
  5. Step 5: Solve for x
    x = 42,269,715,216/95,346
  6. Step 6: Final answer
    x = 443,329.72

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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.