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Finding the Third Proportional to 220,927 and 340,006

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Solution

The third proportional to 220,927 and 340,006 is: 523,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,927 : 340,006 = 340,006 : x
  2. Step 2: Convert to fraction form
    220,927/340,006 = 340,006/x
  3. Step 3: Cross multiply
    220,927x = 340,006 × 340,006
  4. Step 4: Simplify right side
    220,927x = 115,604,080,036
  5. Step 5: Solve for x
    x = 115,604,080,036/220,927
  6. Step 6: Final answer
    x = 523,268.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.