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Finding the Third Proportional to 97,682 and 207,354

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Solution

The third proportional to 97,682 and 207,354 is: 440,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682 : 207,354 = 207,354 : x
  2. Step 2: Convert to fraction form
    97,682/207,354 = 207,354/x
  3. Step 3: Cross multiply
    97,682x = 207,354 × 207,354
  4. Step 4: Simplify right side
    97,682x = 42,995,681,316
  5. Step 5: Solve for x
    x = 42,995,681,316/97,682
  6. Step 6: Final answer
    x = 440,159.72

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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.