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Finding the Third Proportional to 135,959.75 and 299,058.10

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Solution

The third proportional to 135,959.75 and 299,058.10 is: 657,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,959.75 : 299,058.10 = 299,058.10 : x
  2. Step 2: Convert to fraction form
    135,959.75/299,058.10 = 299,058.10/x
  3. Step 3: Cross multiply
    135,959.75x = 299,058.10 × 299,058.10
  4. Step 4: Simplify right side
    135,959.75x = 89,435,747,599.09
  5. Step 5: Solve for x
    x = 89,435,747,599.09/135,959.75
  6. Step 6: Final answer
    x = 657,810.49

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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.