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Finding the Third Proportional to 149,541 and 224,313

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Solution

The third proportional to 149,541 and 224,313 is: 336,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,541 : 224,313 = 224,313 : x
  2. Step 2: Convert to fraction form
    149,541/224,313 = 224,313/x
  3. Step 3: Cross multiply
    149,541x = 224,313 × 224,313
  4. Step 4: Simplify right side
    149,541x = 50,316,321,969
  5. Step 5: Solve for x
    x = 50,316,321,969/149,541
  6. Step 6: Final answer
    x = 336,471.75

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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.