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Finding the Third Proportional to 155,274 and 233,694

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Solution

The third proportional to 155,274 and 233,694 is: 351,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,274 : 233,694 = 233,694 : x
  2. Step 2: Convert to fraction form
    155,274/233,694 = 233,694/x
  3. Step 3: Cross multiply
    155,274x = 233,694 × 233,694
  4. Step 4: Simplify right side
    155,274x = 54,612,885,636
  5. Step 5: Solve for x
    x = 54,612,885,636/155,274
  6. Step 6: Final answer
    x = 351,719.45

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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.