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Finding the Third Proportional to 139,521 and 305,583

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Solution

The third proportional to 139,521 and 305,583 is: 669,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,521 : 305,583 = 305,583 : x
  2. Step 2: Convert to fraction form
    139,521/305,583 = 305,583/x
  3. Step 3: Cross multiply
    139,521x = 305,583 × 305,583
  4. Step 4: Simplify right side
    139,521x = 93,380,969,889
  5. Step 5: Solve for x
    x = 93,380,969,889/139,521
  6. Step 6: Final answer
    x = 669,296.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.