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Finding the Third Proportional to 97,354 and 208,802

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Solution

The third proportional to 97,354 and 208,802 is: 447,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,354 : 208,802 = 208,802 : x
  2. Step 2: Convert to fraction form
    97,354/208,802 = 208,802/x
  3. Step 3: Cross multiply
    97,354x = 208,802 × 208,802
  4. Step 4: Simplify right side
    97,354x = 43,598,275,204
  5. Step 5: Solve for x
    x = 43,598,275,204/97,354
  6. Step 6: Final answer
    x = 447,832.40

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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.