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Finding the Third Proportional to 135,030 and 293,873

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Solution

The third proportional to 135,030 and 293,873 is: 639,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,030 : 293,873 = 293,873 : x
  2. Step 2: Convert to fraction form
    135,030/293,873 = 293,873/x
  3. Step 3: Cross multiply
    135,030x = 293,873 × 293,873
  4. Step 4: Simplify right side
    135,030x = 86,361,340,129
  5. Step 5: Solve for x
    x = 86,361,340,129/135,030
  6. Step 6: Final answer
    x = 639,571.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.