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Finding the Third Proportional to 135,648 and 294,648

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Solution

The third proportional to 135,648 and 294,648 is: 640,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 294,648 = 294,648 : x
  2. Step 2: Convert to fraction form
    135,648/294,648 = 294,648/x
  3. Step 3: Cross multiply
    135,648x = 294,648 × 294,648
  4. Step 4: Simplify right side
    135,648x = 86,817,443,904
  5. Step 5: Solve for x
    x = 86,817,443,904/135,648
  6. Step 6: Final answer
    x = 640,020.08

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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.