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Finding the Third Proportional to 187,444.13 and 290,324.25

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Solution

The third proportional to 187,444.13 and 290,324.25 is: 449,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,444.13 : 290,324.25 = 290,324.25 : x
  2. Step 2: Convert to fraction form
    187,444.13/290,324.25 = 290,324.25/x
  3. Step 3: Cross multiply
    187,444.13x = 290,324.25 × 290,324.25
  4. Step 4: Simplify right side
    187,444.13x = 84,288,170,138.06
  5. Step 5: Solve for x
    x = 84,288,170,138.06/187,444.13
  6. Step 6: Final answer
    x = 449,670.91

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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.