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Finding the Third Proportional to 139,720 and 221,396

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Solution

The third proportional to 139,720 and 221,396 is: 350,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720 : 221,396 = 221,396 : x
  2. Step 2: Convert to fraction form
    139,720/221,396 = 221,396/x
  3. Step 3: Cross multiply
    139,720x = 221,396 × 221,396
  4. Step 4: Simplify right side
    139,720x = 49,016,188,816
  5. Step 5: Solve for x
    x = 49,016,188,816/139,720
  6. Step 6: Final answer
    x = 350,817.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.