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Finding the Third Proportional to 155,102 and 233,949

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Solution

The third proportional to 155,102 and 233,949 is: 352,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,102 : 233,949 = 233,949 : x
  2. Step 2: Convert to fraction form
    155,102/233,949 = 233,949/x
  3. Step 3: Cross multiply
    155,102x = 233,949 × 233,949
  4. Step 4: Simplify right side
    155,102x = 54,732,134,601
  5. Step 5: Solve for x
    x = 54,732,134,601/155,102
  6. Step 6: Final answer
    x = 352,878.33

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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.