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Finding the Third Proportional to 103,444 and 213,360

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Solution

The third proportional to 103,444 and 213,360 is: 440,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,444 : 213,360 = 213,360 : x
  2. Step 2: Convert to fraction form
    103,444/213,360 = 213,360/x
  3. Step 3: Cross multiply
    103,444x = 213,360 × 213,360
  4. Step 4: Simplify right side
    103,444x = 45,522,489,600
  5. Step 5: Solve for x
    x = 45,522,489,600/103,444
  6. Step 6: Final answer
    x = 440,068.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.