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Finding the Third Proportional to 104,305.50 and 223,380

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Solution

The third proportional to 104,305.50 and 223,380 is: 478,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,305.50 : 223,380 = 223,380 : x
  2. Step 2: Convert to fraction form
    104,305.50/223,380 = 223,380/x
  3. Step 3: Cross multiply
    104,305.50x = 223,380 × 223,380
  4. Step 4: Simplify right side
    104,305.50x = 49,898,624,400
  5. Step 5: Solve for x
    x = 49,898,624,400/104,305.50
  6. Step 6: Final answer
    x = 478,389.20

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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.