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Finding the Third Proportional to 221,892.75 and 360,504

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Solution

The third proportional to 221,892.75 and 360,504 is: 585,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,892.75 : 360,504 = 360,504 : x
  2. Step 2: Convert to fraction form
    221,892.75/360,504 = 360,504/x
  3. Step 3: Cross multiply
    221,892.75x = 360,504 × 360,504
  4. Step 4: Simplify right side
    221,892.75x = 129,963,134,016
  5. Step 5: Solve for x
    x = 129,963,134,016/221,892.75
  6. Step 6: Final answer
    x = 585,702.48

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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.