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Finding the Third Proportional to 156,982 and 343,124

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Solution

The third proportional to 156,982 and 343,124 is: 749,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 343,124 = 343,124 : x
  2. Step 2: Convert to fraction form
    156,982/343,124 = 343,124/x
  3. Step 3: Cross multiply
    156,982x = 343,124 × 343,124
  4. Step 4: Simplify right side
    156,982x = 117,734,079,376
  5. Step 5: Solve for x
    x = 117,734,079,376/156,982
  6. Step 6: Final answer
    x = 749,984.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.