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Finding the Third Proportional to 155,268 and 233,679

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Solution

The third proportional to 155,268 and 233,679 is: 351,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,268 : 233,679 = 233,679 : x
  2. Step 2: Convert to fraction form
    155,268/233,679 = 233,679/x
  3. Step 3: Cross multiply
    155,268x = 233,679 × 233,679
  4. Step 4: Simplify right side
    155,268x = 54,605,875,041
  5. Step 5: Solve for x
    x = 54,605,875,041/155,268
  6. Step 6: Final answer
    x = 351,687.89

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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.