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Finding the Third Proportional to 170,280 and 227,760

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Solution

The third proportional to 170,280 and 227,760 is: 304,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,280 : 227,760 = 227,760 : x
  2. Step 2: Convert to fraction form
    170,280/227,760 = 227,760/x
  3. Step 3: Cross multiply
    170,280x = 227,760 × 227,760
  4. Step 4: Simplify right side
    170,280x = 51,874,617,600
  5. Step 5: Solve for x
    x = 51,874,617,600/170,280
  6. Step 6: Final answer
    x = 304,643.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.