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Finding the Third Proportional to 187,050.75 and 400,363.50

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Solution

The third proportional to 187,050.75 and 400,363.50 is: 856,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,050.75 : 400,363.50 = 400,363.50 : x
  2. Step 2: Convert to fraction form
    187,050.75/400,363.50 = 400,363.50/x
  3. Step 3: Cross multiply
    187,050.75x = 400,363.50 × 400,363.50
  4. Step 4: Simplify right side
    187,050.75x = 160,290,932,132.25
  5. Step 5: Solve for x
    x = 160,290,932,132.25/187,050.75
  6. Step 6: Final answer
    x = 856,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.