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Finding the Third Proportional to 180,319.50 and 256,304.25

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Solution

The third proportional to 180,319.50 and 256,304.25 is: 364,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,319.50 : 256,304.25 = 256,304.25 : x
  2. Step 2: Convert to fraction form
    180,319.50/256,304.25 = 256,304.25/x
  3. Step 3: Cross multiply
    180,319.50x = 256,304.25 × 256,304.25
  4. Step 4: Simplify right side
    180,319.50x = 65,691,868,568.06
  5. Step 5: Solve for x
    x = 65,691,868,568.06/180,319.50
  6. Step 6: Final answer
    x = 364,308.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.