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Finding the Third Proportional to 267,178.50 and 382,718.25

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Solution

The third proportional to 267,178.50 and 382,718.25 is: 548,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,178.50 : 382,718.25 = 382,718.25 : x
  2. Step 2: Convert to fraction form
    267,178.50/382,718.25 = 382,718.25/x
  3. Step 3: Cross multiply
    267,178.50x = 382,718.25 × 382,718.25
  4. Step 4: Simplify right side
    267,178.50x = 146,473,258,883.06
  5. Step 5: Solve for x
    x = 146,473,258,883.06/267,178.50
  6. Step 6: Final answer
    x = 548,222.48

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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.