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Finding the Third Proportional to 156,953 and 339,664

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Solution

The third proportional to 156,953 and 339,664 is: 735,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,953 : 339,664 = 339,664 : x
  2. Step 2: Convert to fraction form
    156,953/339,664 = 339,664/x
  3. Step 3: Cross multiply
    156,953x = 339,664 × 339,664
  4. Step 4: Simplify right side
    156,953x = 115,371,632,896
  5. Step 5: Solve for x
    x = 115,371,632,896/156,953
  6. Step 6: Final answer
    x = 735,071.22

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Why These Related Problems?

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