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Finding the Third Proportional to 149,542.88 and 223,335.56

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Solution

The third proportional to 149,542.88 and 223,335.56 is: 333,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,542.88 : 223,335.56 = 223,335.56 : x
  2. Step 2: Convert to fraction form
    149,542.88/223,335.56 = 223,335.56/x
  3. Step 3: Cross multiply
    149,542.88x = 223,335.56 × 223,335.56
  4. Step 4: Simplify right side
    149,542.88x = 49,878,773,477.19
  5. Step 5: Solve for x
    x = 49,878,773,477.19/149,542.88
  6. Step 6: Final answer
    x = 333,541.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.