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Finding the Third Proportional to 97,288 and 209,768

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Solution

The third proportional to 97,288 and 209,768 is: 452,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,288 : 209,768 = 209,768 : x
  2. Step 2: Convert to fraction form
    97,288/209,768 = 209,768/x
  3. Step 3: Cross multiply
    97,288x = 209,768 × 209,768
  4. Step 4: Simplify right side
    97,288x = 44,002,613,824
  5. Step 5: Solve for x
    x = 44,002,613,824/97,288
  6. Step 6: Final answer
    x = 452,292.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.