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Finding the Third Proportional to 156,973 and 339,095

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Solution

The third proportional to 156,973 and 339,095 is: 732,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,973 : 339,095 = 339,095 : x
  2. Step 2: Convert to fraction form
    156,973/339,095 = 339,095/x
  3. Step 3: Cross multiply
    156,973x = 339,095 × 339,095
  4. Step 4: Simplify right side
    156,973x = 114,985,419,025
  5. Step 5: Solve for x
    x = 114,985,419,025/156,973
  6. Step 6: Final answer
    x = 732,517.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.