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Finding the Third Proportional to 169,506.75 and 256,449

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Solution

The third proportional to 169,506.75 and 256,449 is: 387,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,506.75 : 256,449 = 256,449 : x
  2. Step 2: Convert to fraction form
    169,506.75/256,449 = 256,449/x
  3. Step 3: Cross multiply
    169,506.75x = 256,449 × 256,449
  4. Step 4: Simplify right side
    169,506.75x = 65,766,089,601
  5. Step 5: Solve for x
    x = 65,766,089,601/169,506.75
  6. Step 6: Final answer
    x = 387,985.08

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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.