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Finding the Third Proportional to 97,398 and 202,284

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Solution

The third proportional to 97,398 and 202,284 is: 420,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398 : 202,284 = 202,284 : x
  2. Step 2: Convert to fraction form
    97,398/202,284 = 202,284/x
  3. Step 3: Cross multiply
    97,398x = 202,284 × 202,284
  4. Step 4: Simplify right side
    97,398x = 40,918,816,656
  5. Step 5: Solve for x
    x = 40,918,816,656/97,398
  6. Step 6: Final answer
    x = 420,119.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.