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Finding the Third Proportional to 104,400 and 223,572

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Solution

The third proportional to 104,400 and 223,572 is: 478,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,400 : 223,572 = 223,572 : x
  2. Step 2: Convert to fraction form
    104,400/223,572 = 223,572/x
  3. Step 3: Cross multiply
    104,400x = 223,572 × 223,572
  4. Step 4: Simplify right side
    104,400x = 49,984,439,184
  5. Step 5: Solve for x
    x = 49,984,439,184/104,400
  6. Step 6: Final answer
    x = 478,778.15

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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.