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Finding the Third Proportional to 139,697 and 221,300

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Solution

The third proportional to 139,697 and 221,300 is: 350,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,697 : 221,300 = 221,300 : x
  2. Step 2: Convert to fraction form
    139,697/221,300 = 221,300/x
  3. Step 3: Cross multiply
    139,697x = 221,300 × 221,300
  4. Step 4: Simplify right side
    139,697x = 48,973,690,000
  5. Step 5: Solve for x
    x = 48,973,690,000/139,697
  6. Step 6: Final answer
    x = 350,570.81

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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.