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Finding the Third Proportional to 149,481 and 223,809.75

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Solution

The third proportional to 149,481 and 223,809.75 is: 335,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,481 : 223,809.75 = 223,809.75 : x
  2. Step 2: Convert to fraction form
    149,481/223,809.75 = 223,809.75/x
  3. Step 3: Cross multiply
    149,481x = 223,809.75 × 223,809.75
  4. Step 4: Simplify right side
    149,481x = 50,090,804,195.06
  5. Step 5: Solve for x
    x = 50,090,804,195.06/149,481
  6. Step 6: Final answer
    x = 335,098.13

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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.