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Finding the Third Proportional to 97,268 and 209,320

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Solution

The third proportional to 97,268 and 209,320 is: 450,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,268 : 209,320 = 209,320 : x
  2. Step 2: Convert to fraction form
    97,268/209,320 = 209,320/x
  3. Step 3: Cross multiply
    97,268x = 209,320 × 209,320
  4. Step 4: Simplify right side
    97,268x = 43,814,862,400
  5. Step 5: Solve for x
    x = 43,814,862,400/97,268
  6. Step 6: Final answer
    x = 450,455.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.