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Finding the Third Proportional to 136,260 and 291,150

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Solution

The third proportional to 136,260 and 291,150 is: 622,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,260 : 291,150 = 291,150 : x
  2. Step 2: Convert to fraction form
    136,260/291,150 = 291,150/x
  3. Step 3: Cross multiply
    136,260x = 291,150 × 291,150
  4. Step 4: Simplify right side
    136,260x = 84,768,322,500
  5. Step 5: Solve for x
    x = 84,768,322,500/136,260
  6. Step 6: Final answer
    x = 622,107.17

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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.