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Finding the Third Proportional to 134,911 and 293,149

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Solution

The third proportional to 134,911 and 293,149 is: 636,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,911 : 293,149 = 293,149 : x
  2. Step 2: Convert to fraction form
    134,911/293,149 = 293,149/x
  3. Step 3: Cross multiply
    134,911x = 293,149 × 293,149
  4. Step 4: Simplify right side
    134,911x = 85,936,336,201
  5. Step 5: Solve for x
    x = 85,936,336,201/134,911
  6. Step 6: Final answer
    x = 636,985.39

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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.