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Finding the Third Proportional to 221,523.50 and 485,940

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Solution

The third proportional to 221,523.50 and 485,940 is: 1,065,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,523.50 : 485,940 = 485,940 : x
  2. Step 2: Convert to fraction form
    221,523.50/485,940 = 485,940/x
  3. Step 3: Cross multiply
    221,523.50x = 485,940 × 485,940
  4. Step 4: Simplify right side
    221,523.50x = 236,137,683,600
  5. Step 5: Solve for x
    x = 236,137,683,600/221,523.50
  6. Step 6: Final answer
    x = 1,065,971.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.