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Finding the Third Proportional to 155,279 and 227,998

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Solution

The third proportional to 155,279 and 227,998 is: 334,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,279 : 227,998 = 227,998 : x
  2. Step 2: Convert to fraction form
    155,279/227,998 = 227,998/x
  3. Step 3: Cross multiply
    155,279x = 227,998 × 227,998
  4. Step 4: Simplify right side
    155,279x = 51,983,088,004
  5. Step 5: Solve for x
    x = 51,983,088,004/155,279
  6. Step 6: Final answer
    x = 334,772.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.