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Finding the Third Proportional to 135,083 and 293,467

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Solution

The third proportional to 135,083 and 293,467 is: 637,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083 : 293,467 = 293,467 : x
  2. Step 2: Convert to fraction form
    135,083/293,467 = 293,467/x
  3. Step 3: Cross multiply
    135,083x = 293,467 × 293,467
  4. Step 4: Simplify right side
    135,083x = 86,122,880,089
  5. Step 5: Solve for x
    x = 86,122,880,089/135,083
  6. Step 6: Final answer
    x = 637,555.28

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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.