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Finding the Third Proportional to 155,364 and 232,965

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Solution

The third proportional to 155,364 and 232,965 is: 349,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,364 : 232,965 = 232,965 : x
  2. Step 2: Convert to fraction form
    155,364/232,965 = 232,965/x
  3. Step 3: Cross multiply
    155,364x = 232,965 × 232,965
  4. Step 4: Simplify right side
    155,364x = 54,272,691,225
  5. Step 5: Solve for x
    x = 54,272,691,225/155,364
  6. Step 6: Final answer
    x = 349,326.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.