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Finding the Third Proportional to 187,434 and 267,127.88

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Solution

The third proportional to 187,434 and 267,127.88 is: 380,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,434 : 267,127.88 = 267,127.88 : x
  2. Step 2: Convert to fraction form
    187,434/267,127.88 = 267,127.88/x
  3. Step 3: Cross multiply
    187,434x = 267,127.88 × 267,127.88
  4. Step 4: Simplify right side
    187,434x = 71,357,301,602.02
  5. Step 5: Solve for x
    x = 71,357,301,602.02/187,434
  6. Step 6: Final answer
    x = 380,706.28

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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.