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Finding the Third Proportional to 159,464 and 248,900

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Solution

The third proportional to 159,464 and 248,900 is: 388,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464 : 248,900 = 248,900 : x
  2. Step 2: Convert to fraction form
    159,464/248,900 = 248,900/x
  3. Step 3: Cross multiply
    159,464x = 248,900 × 248,900
  4. Step 4: Simplify right side
    159,464x = 61,951,210,000
  5. Step 5: Solve for x
    x = 61,951,210,000/159,464
  6. Step 6: Final answer
    x = 388,496.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.