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Finding the Third Proportional to 199,610 and 408,534

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Solution

The third proportional to 199,610 and 408,534 is: 836,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,610 : 408,534 = 408,534 : x
  2. Step 2: Convert to fraction form
    199,610/408,534 = 408,534/x
  3. Step 3: Cross multiply
    199,610x = 408,534 × 408,534
  4. Step 4: Simplify right side
    199,610x = 166,900,029,156
  5. Step 5: Solve for x
    x = 166,900,029,156/199,610
  6. Step 6: Final answer
    x = 836,130.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.