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Finding the Third Proportional to 156,656 and 238,662

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Solution

The third proportional to 156,656 and 238,662 is: 363,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656 : 238,662 = 238,662 : x
  2. Step 2: Convert to fraction form
    156,656/238,662 = 238,662/x
  3. Step 3: Cross multiply
    156,656x = 238,662 × 238,662
  4. Step 4: Simplify right side
    156,656x = 56,959,550,244
  5. Step 5: Solve for x
    x = 56,959,550,244/156,656
  6. Step 6: Final answer
    x = 363,596.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.