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Finding the Third Proportional to 187,416.50 and 267,105.50

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Solution

The third proportional to 187,416.50 and 267,105.50 is: 380,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,416.50 : 267,105.50 = 267,105.50 : x
  2. Step 2: Convert to fraction form
    187,416.50/267,105.50 = 267,105.50/x
  3. Step 3: Cross multiply
    187,416.50x = 267,105.50 × 267,105.50
  4. Step 4: Simplify right side
    187,416.50x = 71,345,348,130.25
  5. Step 5: Solve for x
    x = 71,345,348,130.25/187,416.50
  6. Step 6: Final answer
    x = 380,678.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.