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Finding the Third Proportional to 159,844 and 248,352

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Solution

The third proportional to 159,844 and 248,352 is: 385,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,844 : 248,352 = 248,352 : x
  2. Step 2: Convert to fraction form
    159,844/248,352 = 248,352/x
  3. Step 3: Cross multiply
    159,844x = 248,352 × 248,352
  4. Step 4: Simplify right side
    159,844x = 61,678,715,904
  5. Step 5: Solve for x
    x = 61,678,715,904/159,844
  6. Step 6: Final answer
    x = 385,868.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.