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Finding the Third Proportional to 157,898 and 236,367

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Solution

The third proportional to 157,898 and 236,367 is: 353,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,898 : 236,367 = 236,367 : x
  2. Step 2: Convert to fraction form
    157,898/236,367 = 236,367/x
  3. Step 3: Cross multiply
    157,898x = 236,367 × 236,367
  4. Step 4: Simplify right side
    157,898x = 55,869,358,689
  5. Step 5: Solve for x
    x = 55,869,358,689/157,898
  6. Step 6: Final answer
    x = 353,831.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.