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Finding the Third Proportional to 97,873 and 208,565

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Solution

The third proportional to 97,873 and 208,565 is: 444,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,873 : 208,565 = 208,565 : x
  2. Step 2: Convert to fraction form
    97,873/208,565 = 208,565/x
  3. Step 3: Cross multiply
    97,873x = 208,565 × 208,565
  4. Step 4: Simplify right side
    97,873x = 43,499,359,225
  5. Step 5: Solve for x
    x = 43,499,359,225/97,873
  6. Step 6: Final answer
    x = 444,446.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.