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Finding the Third Proportional to 156,794 and 238,877

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Solution

The third proportional to 156,794 and 238,877 is: 363,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,794 : 238,877 = 238,877 : x
  2. Step 2: Convert to fraction form
    156,794/238,877 = 238,877/x
  3. Step 3: Cross multiply
    156,794x = 238,877 × 238,877
  4. Step 4: Simplify right side
    156,794x = 57,062,221,129
  5. Step 5: Solve for x
    x = 57,062,221,129/156,794
  6. Step 6: Final answer
    x = 363,931.15

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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.