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Finding the Third Proportional to 156,766 and 238,835

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Solution

The third proportional to 156,766 and 238,835 is: 363,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766 : 238,835 = 238,835 : x
  2. Step 2: Convert to fraction form
    156,766/238,835 = 238,835/x
  3. Step 3: Cross multiply
    156,766x = 238,835 × 238,835
  4. Step 4: Simplify right side
    156,766x = 57,042,157,225
  5. Step 5: Solve for x
    x = 57,042,157,225/156,766
  6. Step 6: Final answer
    x = 363,868.17

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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.