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Finding the Third Proportional to 140,211 and 220,522.50

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Solution

The third proportional to 140,211 and 220,522.50 is: 346,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,211 : 220,522.50 = 220,522.50 : x
  2. Step 2: Convert to fraction form
    140,211/220,522.50 = 220,522.50/x
  3. Step 3: Cross multiply
    140,211x = 220,522.50 × 220,522.50
  4. Step 4: Simplify right side
    140,211x = 48,630,173,006.25
  5. Step 5: Solve for x
    x = 48,630,173,006.25/140,211
  6. Step 6: Final answer
    x = 346,835.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.