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Finding the Third Proportional to 221,196 and 340,188

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Solution

The third proportional to 221,196 and 340,188 is: 523,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,196 : 340,188 = 340,188 : x
  2. Step 2: Convert to fraction form
    221,196/340,188 = 340,188/x
  3. Step 3: Cross multiply
    221,196x = 340,188 × 340,188
  4. Step 4: Simplify right side
    221,196x = 115,727,875,344
  5. Step 5: Solve for x
    x = 115,727,875,344/221,196
  6. Step 6: Final answer
    x = 523,191.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.