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Finding the Third Proportional to 103,219 and 164,217

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Solution

The third proportional to 103,219 and 164,217 is: 261,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219 : 164,217 = 164,217 : x
  2. Step 2: Convert to fraction form
    103,219/164,217 = 164,217/x
  3. Step 3: Cross multiply
    103,219x = 164,217 × 164,217
  4. Step 4: Simplify right side
    103,219x = 26,967,223,089
  5. Step 5: Solve for x
    x = 26,967,223,089/103,219
  6. Step 6: Final answer
    x = 261,262.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.