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Finding the Third Proportional to 135,652 and 291,368

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Solution

The third proportional to 135,652 and 291,368 is: 625,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,652 : 291,368 = 291,368 : x
  2. Step 2: Convert to fraction form
    135,652/291,368 = 291,368/x
  3. Step 3: Cross multiply
    135,652x = 291,368 × 291,368
  4. Step 4: Simplify right side
    135,652x = 84,895,311,424
  5. Step 5: Solve for x
    x = 84,895,311,424/135,652
  6. Step 6: Final answer
    x = 625,831.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.