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Finding the Third Proportional to 221,919.75 and 360,541.13

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Solution

The third proportional to 221,919.75 and 360,541.13 is: 585,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,919.75 : 360,541.13 = 360,541.13 : x
  2. Step 2: Convert to fraction form
    221,919.75/360,541.13 = 360,541.13/x
  3. Step 3: Cross multiply
    221,919.75x = 360,541.13 × 360,541.13
  4. Step 4: Simplify right side
    221,919.75x = 129,989,902,816.27
  5. Step 5: Solve for x
    x = 129,989,902,816.27/221,919.75
  6. Step 6: Final answer
    x = 585,751.84

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.