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Finding the Third Proportional to 139,563 and 204,808.50

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Solution

The third proportional to 139,563 and 204,808.50 is: 300,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,563 : 204,808.50 = 204,808.50 : x
  2. Step 2: Convert to fraction form
    139,563/204,808.50 = 204,808.50/x
  3. Step 3: Cross multiply
    139,563x = 204,808.50 × 204,808.50
  4. Step 4: Simplify right side
    139,563x = 41,946,521,672.25
  5. Step 5: Solve for x
    x = 41,946,521,672.25/139,563
  6. Step 6: Final answer
    x = 300,556.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.