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Finding the Third Proportional to 187,998.75 and 291,244.50

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Solution

The third proportional to 187,998.75 and 291,244.50 is: 451,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,998.75 : 291,244.50 = 291,244.50 : x
  2. Step 2: Convert to fraction form
    187,998.75/291,244.50 = 291,244.50/x
  3. Step 3: Cross multiply
    187,998.75x = 291,244.50 × 291,244.50
  4. Step 4: Simplify right side
    187,998.75x = 84,823,358,780.25
  5. Step 5: Solve for x
    x = 84,823,358,780.25/187,998.75
  6. Step 6: Final answer
    x = 451,191.08

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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.