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Finding the Third Proportional to 187,166 and 290,901

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Solution

The third proportional to 187,166 and 290,901 is: 452,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,166 : 290,901 = 290,901 : x
  2. Step 2: Convert to fraction form
    187,166/290,901 = 290,901/x
  3. Step 3: Cross multiply
    187,166x = 290,901 × 290,901
  4. Step 4: Simplify right side
    187,166x = 84,623,391,801
  5. Step 5: Solve for x
    x = 84,623,391,801/187,166
  6. Step 6: Final answer
    x = 452,130.15

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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.