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Finding the Third Proportional to 155,888 and 235,812

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Solution

The third proportional to 155,888 and 235,812 is: 356,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,888 : 235,812 = 235,812 : x
  2. Step 2: Convert to fraction form
    155,888/235,812 = 235,812/x
  3. Step 3: Cross multiply
    155,888x = 235,812 × 235,812
  4. Step 4: Simplify right side
    155,888x = 55,607,299,344
  5. Step 5: Solve for x
    x = 55,607,299,344/155,888
  6. Step 6: Final answer
    x = 356,713.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.