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Finding the Third Proportional to 93,942 and 200,358

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Solution

The third proportional to 93,942 and 200,358 is: 427,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,942 : 200,358 = 200,358 : x
  2. Step 2: Convert to fraction form
    93,942/200,358 = 200,358/x
  3. Step 3: Cross multiply
    93,942x = 200,358 × 200,358
  4. Step 4: Simplify right side
    93,942x = 40,143,328,164
  5. Step 5: Solve for x
    x = 40,143,328,164/93,942
  6. Step 6: Final answer
    x = 427,320.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.