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Finding the Third Proportional to 112,401 and 240,742.50

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Solution

The third proportional to 112,401 and 240,742.50 is: 515,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,401 : 240,742.50 = 240,742.50 : x
  2. Step 2: Convert to fraction form
    112,401/240,742.50 = 240,742.50/x
  3. Step 3: Cross multiply
    112,401x = 240,742.50 × 240,742.50
  4. Step 4: Simplify right side
    112,401x = 57,956,951,306.25
  5. Step 5: Solve for x
    x = 57,956,951,306.25/112,401
  6. Step 6: Final answer
    x = 515,626.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.