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Finding the Third Proportional to 140,047 and 209,581.50

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Solution

The third proportional to 140,047 and 209,581.50 is: 313,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,047 : 209,581.50 = 209,581.50 : x
  2. Step 2: Convert to fraction form
    140,047/209,581.50 = 209,581.50/x
  3. Step 3: Cross multiply
    140,047x = 209,581.50 × 209,581.50
  4. Step 4: Simplify right side
    140,047x = 43,924,405,142.25
  5. Step 5: Solve for x
    x = 43,924,405,142.25/140,047
  6. Step 6: Final answer
    x = 313,640.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.