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Finding the Third Proportional to 156,022 and 342,553

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Solution

The third proportional to 156,022 and 342,553 is: 752,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,022 : 342,553 = 342,553 : x
  2. Step 2: Convert to fraction form
    156,022/342,553 = 342,553/x
  3. Step 3: Cross multiply
    156,022x = 342,553 × 342,553
  4. Step 4: Simplify right side
    156,022x = 117,342,557,809
  5. Step 5: Solve for x
    x = 117,342,557,809/156,022
  6. Step 6: Final answer
    x = 752,089.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.