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Finding the Third Proportional to 199,684 and 434,358

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Solution

The third proportional to 199,684 and 434,358 is: 944,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684 : 434,358 = 434,358 : x
  2. Step 2: Convert to fraction form
    199,684/434,358 = 434,358/x
  3. Step 3: Cross multiply
    199,684x = 434,358 × 434,358
  4. Step 4: Simplify right side
    199,684x = 188,666,872,164
  5. Step 5: Solve for x
    x = 188,666,872,164/199,684
  6. Step 6: Final answer
    x = 944,827.19

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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.