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Finding the Third Proportional to 149,546 and 224,320

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Solution

The third proportional to 149,546 and 224,320 is: 336,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546 : 224,320 = 224,320 : x
  2. Step 2: Convert to fraction form
    149,546/224,320 = 224,320/x
  3. Step 3: Cross multiply
    149,546x = 224,320 × 224,320
  4. Step 4: Simplify right side
    149,546x = 50,319,462,400
  5. Step 5: Solve for x
    x = 50,319,462,400/149,546
  6. Step 6: Final answer
    x = 336,481.50

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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.