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Finding the Third Proportional to 180,462 and 252,289.38

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Solution

The third proportional to 180,462 and 252,289.38 is: 352,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462 : 252,289.38 = 252,289.38 : x
  2. Step 2: Convert to fraction form
    180,462/252,289.38 = 252,289.38/x
  3. Step 3: Cross multiply
    180,462x = 252,289.38 × 252,289.38
  4. Step 4: Simplify right side
    180,462x = 63,649,928,737.89
  5. Step 5: Solve for x
    x = 63,649,928,737.89/180,462
  6. Step 6: Final answer
    x = 352,705.44

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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.