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Finding the Third Proportional to 135,288 and 293,898

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Solution

The third proportional to 135,288 and 293,898 is: 638,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,288 : 293,898 = 293,898 : x
  2. Step 2: Convert to fraction form
    135,288/293,898 = 293,898/x
  3. Step 3: Cross multiply
    135,288x = 293,898 × 293,898
  4. Step 4: Simplify right side
    135,288x = 86,376,034,404
  5. Step 5: Solve for x
    x = 86,376,034,404/135,288
  6. Step 6: Final answer
    x = 638,460.43

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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.