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Finding the Third Proportional to 187,039.13 and 290,207.63

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Solution

The third proportional to 187,039.13 and 290,207.63 is: 450,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,039.13 : 290,207.63 = 290,207.63 : x
  2. Step 2: Convert to fraction form
    187,039.13/290,207.63 = 290,207.63/x
  3. Step 3: Cross multiply
    187,039.13x = 290,207.63 × 290,207.63
  4. Step 4: Simplify right side
    187,039.13x = 84,220,465,608.14
  5. Step 5: Solve for x
    x = 84,220,465,608.14/187,039.13
  6. Step 6: Final answer
    x = 450,282.61

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