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Finding the Third Proportional to 97,684 and 207,358

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Solution

The third proportional to 97,684 and 207,358 is: 440,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,684 : 207,358 = 207,358 : x
  2. Step 2: Convert to fraction form
    97,684/207,358 = 207,358/x
  3. Step 3: Cross multiply
    97,684x = 207,358 × 207,358
  4. Step 4: Simplify right side
    97,684x = 42,997,340,164
  5. Step 5: Solve for x
    x = 42,997,340,164/97,684
  6. Step 6: Final answer
    x = 440,167.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.