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Finding the Third Proportional to 250,080 and 542,880

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Solution

The third proportional to 250,080 and 542,880 is: 1,178,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,080 : 542,880 = 542,880 : x
  2. Step 2: Convert to fraction form
    250,080/542,880 = 542,880/x
  3. Step 3: Cross multiply
    250,080x = 542,880 × 542,880
  4. Step 4: Simplify right side
    250,080x = 294,718,694,400
  5. Step 5: Solve for x
    x = 294,718,694,400/250,080
  6. Step 6: Final answer
    x = 1,178,497.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.