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Finding the Third Proportional to 145,824 and 224,954.44

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Solution

The third proportional to 145,824 and 224,954.44 is: 347,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,824 : 224,954.44 = 224,954.44 : x
  2. Step 2: Convert to fraction form
    145,824/224,954.44 = 224,954.44/x
  3. Step 3: Cross multiply
    145,824x = 224,954.44 × 224,954.44
  4. Step 4: Simplify right side
    145,824x = 50,604,498,950.94
  5. Step 5: Solve for x
    x = 50,604,498,950.94/145,824
  6. Step 6: Final answer
    x = 347,024.49

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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.