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Finding the Third Proportional to 156,652 and 238,656

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Solution

The third proportional to 156,652 and 238,656 is: 363,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,652 : 238,656 = 238,656 : x
  2. Step 2: Convert to fraction form
    156,652/238,656 = 238,656/x
  3. Step 3: Cross multiply
    156,652x = 238,656 × 238,656
  4. Step 4: Simplify right side
    156,652x = 56,956,686,336
  5. Step 5: Solve for x
    x = 56,956,686,336/156,652
  6. Step 6: Final answer
    x = 363,587.36

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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.