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Finding the Third Proportional to 103,399.50 and 223,746

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Solution

The third proportional to 103,399.50 and 223,746 is: 484,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,399.50 : 223,746 = 223,746 : x
  2. Step 2: Convert to fraction form
    103,399.50/223,746 = 223,746/x
  3. Step 3: Cross multiply
    103,399.50x = 223,746 × 223,746
  4. Step 4: Simplify right side
    103,399.50x = 50,062,272,516
  5. Step 5: Solve for x
    x = 50,062,272,516/103,399.50
  6. Step 6: Final answer
    x = 484,163.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.