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Finding the Third Proportional to 154,882 and 227,787

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Solution

The third proportional to 154,882 and 227,787 is: 335,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,882 : 227,787 = 227,787 : x
  2. Step 2: Convert to fraction form
    154,882/227,787 = 227,787/x
  3. Step 3: Cross multiply
    154,882x = 227,787 × 227,787
  4. Step 4: Simplify right side
    154,882x = 51,886,917,369
  5. Step 5: Solve for x
    x = 51,886,917,369/154,882
  6. Step 6: Final answer
    x = 335,009.34

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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.