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Finding the Third Proportional to 97,344 and 208,701

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Solution

The third proportional to 97,344 and 208,701 is: 447,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344 : 208,701 = 208,701 : x
  2. Step 2: Convert to fraction form
    97,344/208,701 = 208,701/x
  3. Step 3: Cross multiply
    97,344x = 208,701 × 208,701
  4. Step 4: Simplify right side
    97,344x = 43,556,107,401
  5. Step 5: Solve for x
    x = 43,556,107,401/97,344
  6. Step 6: Final answer
    x = 447,445.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.