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Finding the Third Proportional to 136,336 and 291,626

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Solution

The third proportional to 136,336 and 291,626 is: 623,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,336 : 291,626 = 291,626 : x
  2. Step 2: Convert to fraction form
    136,336/291,626 = 291,626/x
  3. Step 3: Cross multiply
    136,336x = 291,626 × 291,626
  4. Step 4: Simplify right side
    136,336x = 85,045,723,876
  5. Step 5: Solve for x
    x = 85,045,723,876/136,336
  6. Step 6: Final answer
    x = 623,795.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.