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Finding the Third Proportional to 119,679 and 259,304.25

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Solution

The third proportional to 119,679 and 259,304.25 is: 561,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,679 : 259,304.25 = 259,304.25 : x
  2. Step 2: Convert to fraction form
    119,679/259,304.25 = 259,304.25/x
  3. Step 3: Cross multiply
    119,679x = 259,304.25 × 259,304.25
  4. Step 4: Simplify right side
    119,679x = 67,238,694,068.06
  5. Step 5: Solve for x
    x = 67,238,694,068.06/119,679
  6. Step 6: Final answer
    x = 561,825.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.