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Finding the Third Proportional to 144,661 and 313,106

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Solution

The third proportional to 144,661 and 313,106 is: 677,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,661 : 313,106 = 313,106 : x
  2. Step 2: Convert to fraction form
    144,661/313,106 = 313,106/x
  3. Step 3: Cross multiply
    144,661x = 313,106 × 313,106
  4. Step 4: Simplify right side
    144,661x = 98,035,367,236
  5. Step 5: Solve for x
    x = 98,035,367,236/144,661
  6. Step 6: Final answer
    x = 677,690.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.