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Finding the Third Proportional to 187,278.75 and 412,733.25

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Solution

The third proportional to 187,278.75 and 412,733.25 is: 909,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,278.75 : 412,733.25 = 412,733.25 : x
  2. Step 2: Convert to fraction form
    187,278.75/412,733.25 = 412,733.25/x
  3. Step 3: Cross multiply
    187,278.75x = 412,733.25 × 412,733.25
  4. Step 4: Simplify right side
    187,278.75x = 170,348,735,655.56
  5. Step 5: Solve for x
    x = 170,348,735,655.56/187,278.75
  6. Step 6: Final answer
    x = 909,599.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.