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Finding the Third Proportional to 157,910 and 236,115

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Solution

The third proportional to 157,910 and 236,115 is: 353,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,910 : 236,115 = 236,115 : x
  2. Step 2: Convert to fraction form
    157,910/236,115 = 236,115/x
  3. Step 3: Cross multiply
    157,910x = 236,115 × 236,115
  4. Step 4: Simplify right side
    157,910x = 55,750,293,225
  5. Step 5: Solve for x
    x = 55,750,293,225/157,910
  6. Step 6: Final answer
    x = 353,051.06

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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.