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Finding the Third Proportional to 149,575 and 224,467

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Solution

The third proportional to 149,575 and 224,467 is: 336,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,575 : 224,467 = 224,467 : x
  2. Step 2: Convert to fraction form
    149,575/224,467 = 224,467/x
  3. Step 3: Cross multiply
    149,575x = 224,467 × 224,467
  4. Step 4: Simplify right side
    149,575x = 50,385,434,089
  5. Step 5: Solve for x
    x = 50,385,434,089/149,575
  6. Step 6: Final answer
    x = 336,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.