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Finding the Third Proportional to 157,652 and 238,115

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Solution

The third proportional to 157,652 and 238,115 is: 359,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,652 : 238,115 = 238,115 : x
  2. Step 2: Convert to fraction form
    157,652/238,115 = 238,115/x
  3. Step 3: Cross multiply
    157,652x = 238,115 × 238,115
  4. Step 4: Simplify right side
    157,652x = 56,698,753,225
  5. Step 5: Solve for x
    x = 56,698,753,225/157,652
  6. Step 6: Final answer
    x = 359,645.00

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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.