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Finding the Third Proportional to 180,462.75 and 252,290.50

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Solution

The third proportional to 180,462.75 and 252,290.50 is: 352,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462.75 : 252,290.50 = 252,290.50 : x
  2. Step 2: Convert to fraction form
    180,462.75/252,290.50 = 252,290.50/x
  3. Step 3: Cross multiply
    180,462.75x = 252,290.50 × 252,290.50
  4. Step 4: Simplify right side
    180,462.75x = 63,650,496,390.25
  5. Step 5: Solve for x
    x = 63,650,496,390.25/180,462.75
  6. Step 6: Final answer
    x = 352,707.12

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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.