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Finding the Third Proportional to 103,024 and 220,834

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Solution

The third proportional to 103,024 and 220,834 is: 473,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,024 : 220,834 = 220,834 : x
  2. Step 2: Convert to fraction form
    103,024/220,834 = 220,834/x
  3. Step 3: Cross multiply
    103,024x = 220,834 × 220,834
  4. Step 4: Simplify right side
    103,024x = 48,767,655,556
  5. Step 5: Solve for x
    x = 48,767,655,556/103,024
  6. Step 6: Final answer
    x = 473,362.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.