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Finding the Third Proportional to 158,638.50 and 237,978

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Solution

The third proportional to 158,638.50 and 237,978 is: 356,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,638.50 : 237,978 = 237,978 : x
  2. Step 2: Convert to fraction form
    158,638.50/237,978 = 237,978/x
  3. Step 3: Cross multiply
    158,638.50x = 237,978 × 237,978
  4. Step 4: Simplify right side
    158,638.50x = 56,633,528,484
  5. Step 5: Solve for x
    x = 56,633,528,484/158,638.50
  6. Step 6: Final answer
    x = 356,997.38

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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.