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Finding the Third Proportional to 104,301 and 223,371

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Solution

The third proportional to 104,301 and 223,371 is: 478,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301 : 223,371 = 223,371 : x
  2. Step 2: Convert to fraction form
    104,301/223,371 = 223,371/x
  3. Step 3: Cross multiply
    104,301x = 223,371 × 223,371
  4. Step 4: Simplify right side
    104,301x = 49,894,603,641
  5. Step 5: Solve for x
    x = 49,894,603,641/104,301
  6. Step 6: Final answer
    x = 478,371.29

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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.