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Finding the Third Proportional to 157,714 and 238,211

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Solution

The third proportional to 157,714 and 238,211 is: 359,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714 : 238,211 = 238,211 : x
  2. Step 2: Convert to fraction form
    157,714/238,211 = 238,211/x
  3. Step 3: Cross multiply
    157,714x = 238,211 × 238,211
  4. Step 4: Simplify right side
    157,714x = 56,744,480,521
  5. Step 5: Solve for x
    x = 56,744,480,521/157,714
  6. Step 6: Final answer
    x = 359,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.