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Finding the Third Proportional to 187,078.50 and 409,092

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Solution

The third proportional to 187,078.50 and 409,092 is: 894,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,078.50 : 409,092 = 409,092 : x
  2. Step 2: Convert to fraction form
    187,078.50/409,092 = 409,092/x
  3. Step 3: Cross multiply
    187,078.50x = 409,092 × 409,092
  4. Step 4: Simplify right side
    187,078.50x = 167,356,264,464
  5. Step 5: Solve for x
    x = 167,356,264,464/187,078.50
  6. Step 6: Final answer
    x = 894,577.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.