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Finding the Third Proportional to 152,278 and 227,577

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Solution

The third proportional to 152,278 and 227,577 is: 340,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,278 : 227,577 = 227,577 : x
  2. Step 2: Convert to fraction form
    152,278/227,577 = 227,577/x
  3. Step 3: Cross multiply
    152,278x = 227,577 × 227,577
  4. Step 4: Simplify right side
    152,278x = 51,791,290,929
  5. Step 5: Solve for x
    x = 51,791,290,929/152,278
  6. Step 6: Final answer
    x = 340,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.