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Finding the Third Proportional to 97,250 and 209,284

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Solution

The third proportional to 97,250 and 209,284 is: 450,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,250 : 209,284 = 209,284 : x
  2. Step 2: Convert to fraction form
    97,250/209,284 = 209,284/x
  3. Step 3: Cross multiply
    97,250x = 209,284 × 209,284
  4. Step 4: Simplify right side
    97,250x = 43,799,792,656
  5. Step 5: Solve for x
    x = 43,799,792,656/97,250
  6. Step 6: Final answer
    x = 450,383.47

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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.