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Finding the Third Proportional to 188,017 and 291,269

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Solution

The third proportional to 188,017 and 291,269 is: 451,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017 : 291,269 = 291,269 : x
  2. Step 2: Convert to fraction form
    188,017/291,269 = 291,269/x
  3. Step 3: Cross multiply
    188,017x = 291,269 × 291,269
  4. Step 4: Simplify right side
    188,017x = 84,837,630,361
  5. Step 5: Solve for x
    x = 84,837,630,361/188,017
  6. Step 6: Final answer
    x = 451,223.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.