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Finding the Third Proportional to 187,980 and 290,875

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Solution

The third proportional to 187,980 and 290,875 is: 450,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,980 : 290,875 = 290,875 : x
  2. Step 2: Convert to fraction form
    187,980/290,875 = 290,875/x
  3. Step 3: Cross multiply
    187,980x = 290,875 × 290,875
  4. Step 4: Simplify right side
    187,980x = 84,608,265,625
  5. Step 5: Solve for x
    x = 84,608,265,625/187,980
  6. Step 6: Final answer
    x = 450,091.85

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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.