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Finding the Third Proportional to 180,434.25 and 252,256.50

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Solution

The third proportional to 180,434.25 and 252,256.50 is: 352,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,434.25 : 252,256.50 = 252,256.50 : x
  2. Step 2: Convert to fraction form
    180,434.25/252,256.50 = 252,256.50/x
  3. Step 3: Cross multiply
    180,434.25x = 252,256.50 × 252,256.50
  4. Step 4: Simplify right side
    180,434.25x = 63,633,341,792.25
  5. Step 5: Solve for x
    x = 63,633,341,792.25/180,434.25
  6. Step 6: Final answer
    x = 352,667.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.