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Finding the Third Proportional to 199,683 and 434,356

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Solution

The third proportional to 199,683 and 434,356 is: 944,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,683 : 434,356 = 434,356 : x
  2. Step 2: Convert to fraction form
    199,683/434,356 = 434,356/x
  3. Step 3: Cross multiply
    199,683x = 434,356 × 434,356
  4. Step 4: Simplify right side
    199,683x = 188,665,134,736
  5. Step 5: Solve for x
    x = 188,665,134,736/199,683
  6. Step 6: Final answer
    x = 944,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.