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Finding the Third Proportional to 156,971 and 234,829

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Solution

The third proportional to 156,971 and 234,829 is: 351,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 234,829 = 234,829 : x
  2. Step 2: Convert to fraction form
    156,971/234,829 = 234,829/x
  3. Step 3: Cross multiply
    156,971x = 234,829 × 234,829
  4. Step 4: Simplify right side
    156,971x = 55,144,659,241
  5. Step 5: Solve for x
    x = 55,144,659,241/156,971
  6. Step 6: Final answer
    x = 351,304.76

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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.