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Finding the Third Proportional to 139,414 and 305,510

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Solution

The third proportional to 139,414 and 305,510 is: 669,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,414 : 305,510 = 305,510 : x
  2. Step 2: Convert to fraction form
    139,414/305,510 = 305,510/x
  3. Step 3: Cross multiply
    139,414x = 305,510 × 305,510
  4. Step 4: Simplify right side
    139,414x = 93,336,360,100
  5. Step 5: Solve for x
    x = 93,336,360,100/139,414
  6. Step 6: Final answer
    x = 669,490.58

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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.