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Finding the Third Proportional to 156,820 and 339,560

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Solution

The third proportional to 156,820 and 339,560 is: 735,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,820 : 339,560 = 339,560 : x
  2. Step 2: Convert to fraction form
    156,820/339,560 = 339,560/x
  3. Step 3: Cross multiply
    156,820x = 339,560 × 339,560
  4. Step 4: Simplify right side
    156,820x = 115,300,993,600
  5. Step 5: Solve for x
    x = 115,300,993,600/156,820
  6. Step 6: Final answer
    x = 735,244.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.