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Finding the Third Proportional to 155,956 and 337,832

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Solution

The third proportional to 155,956 and 337,832 is: 731,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,956 : 337,832 = 337,832 : x
  2. Step 2: Convert to fraction form
    155,956/337,832 = 337,832/x
  3. Step 3: Cross multiply
    155,956x = 337,832 × 337,832
  4. Step 4: Simplify right side
    155,956x = 114,130,460,224
  5. Step 5: Solve for x
    x = 114,130,460,224/155,956
  6. Step 6: Final answer
    x = 731,811.92

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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.