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Finding the Third Proportional to 224,824 and 338,720

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Solution

The third proportional to 224,824 and 338,720 is: 510,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,824 : 338,720 = 338,720 : x
  2. Step 2: Convert to fraction form
    224,824/338,720 = 338,720/x
  3. Step 3: Cross multiply
    224,824x = 338,720 × 338,720
  4. Step 4: Simplify right side
    224,824x = 114,731,238,400
  5. Step 5: Solve for x
    x = 114,731,238,400/224,824
  6. Step 6: Final answer
    x = 510,315.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.