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Finding the Third Proportional to 144,991 and 319,414

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Solution

The third proportional to 144,991 and 319,414 is: 703,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,991 : 319,414 = 319,414 : x
  2. Step 2: Convert to fraction form
    144,991/319,414 = 319,414/x
  3. Step 3: Cross multiply
    144,991x = 319,414 × 319,414
  4. Step 4: Simplify right side
    144,991x = 102,025,303,396
  5. Step 5: Solve for x
    x = 102,025,303,396/144,991
  6. Step 6: Final answer
    x = 703,666.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.