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Finding the Third Proportional to 160,939 and 236,478

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Solution

The third proportional to 160,939 and 236,478 is: 347,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,939 : 236,478 = 236,478 : x
  2. Step 2: Convert to fraction form
    160,939/236,478 = 236,478/x
  3. Step 3: Cross multiply
    160,939x = 236,478 × 236,478
  4. Step 4: Simplify right side
    160,939x = 55,921,844,484
  5. Step 5: Solve for x
    x = 55,921,844,484/160,939
  6. Step 6: Final answer
    x = 347,472.30

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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.