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Finding the Third Proportional to 221,986 and 360,661

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Solution

The third proportional to 221,986 and 360,661 is: 585,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,986 : 360,661 = 360,661 : x
  2. Step 2: Convert to fraction form
    221,986/360,661 = 360,661/x
  3. Step 3: Cross multiply
    221,986x = 360,661 × 360,661
  4. Step 4: Simplify right side
    221,986x = 130,076,356,921
  5. Step 5: Solve for x
    x = 130,076,356,921/221,986
  6. Step 6: Final answer
    x = 585,966.49

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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.