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Finding the Third Proportional to 154,878 and 227,781

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Solution

The third proportional to 154,878 and 227,781 is: 335,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,878 : 227,781 = 227,781 : x
  2. Step 2: Convert to fraction form
    154,878/227,781 = 227,781/x
  3. Step 3: Cross multiply
    154,878x = 227,781 × 227,781
  4. Step 4: Simplify right side
    154,878x = 51,884,183,961
  5. Step 5: Solve for x
    x = 51,884,183,961/154,878
  6. Step 6: Final answer
    x = 335,000.35

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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.