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Finding the Third Proportional to 215,824 and 338,564

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Solution

The third proportional to 215,824 and 338,564 is: 531,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824 : 338,564 = 338,564 : x
  2. Step 2: Convert to fraction form
    215,824/338,564 = 338,564/x
  3. Step 3: Cross multiply
    215,824x = 338,564 × 338,564
  4. Step 4: Simplify right side
    215,824x = 114,625,582,096
  5. Step 5: Solve for x
    x = 114,625,582,096/215,824
  6. Step 6: Final answer
    x = 531,106.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.