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Finding the Third Proportional to 156,938 and 345,544

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Solution

The third proportional to 156,938 and 345,544 is: 760,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 345,544 = 345,544 : x
  2. Step 2: Convert to fraction form
    156,938/345,544 = 345,544/x
  3. Step 3: Cross multiply
    156,938x = 345,544 × 345,544
  4. Step 4: Simplify right side
    156,938x = 119,400,655,936
  5. Step 5: Solve for x
    x = 119,400,655,936/156,938
  6. Step 6: Final answer
    x = 760,814.18

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Why These Related Problems?

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