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Finding the Third Proportional to 156,973 and 343,105

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Solution

The third proportional to 156,973 and 343,105 is: 749,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,973 : 343,105 = 343,105 : x
  2. Step 2: Convert to fraction form
    156,973/343,105 = 343,105/x
  3. Step 3: Cross multiply
    156,973x = 343,105 × 343,105
  4. Step 4: Simplify right side
    156,973x = 117,721,041,025
  5. Step 5: Solve for x
    x = 117,721,041,025/156,973
  6. Step 6: Final answer
    x = 749,944.52

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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.