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Finding the Third Proportional to 115,280 and 250,760

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Solution

The third proportional to 115,280 and 250,760 is: 545,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280 : 250,760 = 250,760 : x
  2. Step 2: Convert to fraction form
    115,280/250,760 = 250,760/x
  3. Step 3: Cross multiply
    115,280x = 250,760 × 250,760
  4. Step 4: Simplify right side
    115,280x = 62,880,577,600
  5. Step 5: Solve for x
    x = 62,880,577,600/115,280
  6. Step 6: Final answer
    x = 545,459.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.