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Finding the Third Proportional to 187,261.88 and 409,557.19

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Solution

The third proportional to 187,261.88 and 409,557.19 is: 895,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,261.88 : 409,557.19 = 409,557.19 : x
  2. Step 2: Convert to fraction form
    187,261.88/409,557.19 = 409,557.19/x
  3. Step 3: Cross multiply
    187,261.88x = 409,557.19 × 409,557.19
  4. Step 4: Simplify right side
    187,261.88x = 167,737,089,832.91
  5. Step 5: Solve for x
    x = 167,737,089,832.91/187,261.88
  6. Step 6: Final answer
    x = 895,735.40

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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.