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Finding the Third Proportional to 97,342 and 209,228

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Solution

The third proportional to 97,342 and 209,228 is: 449,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342 : 209,228 = 209,228 : x
  2. Step 2: Convert to fraction form
    97,342/209,228 = 209,228/x
  3. Step 3: Cross multiply
    97,342x = 209,228 × 209,228
  4. Step 4: Simplify right side
    97,342x = 43,776,355,984
  5. Step 5: Solve for x
    x = 43,776,355,984/97,342
  6. Step 6: Final answer
    x = 449,717.04

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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.