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Finding the Third Proportional to 233,149.50 and 354,282.75

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Solution

The third proportional to 233,149.50 and 354,282.75 is: 538,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,149.50 : 354,282.75 = 354,282.75 : x
  2. Step 2: Convert to fraction form
    233,149.50/354,282.75 = 354,282.75/x
  3. Step 3: Cross multiply
    233,149.50x = 354,282.75 × 354,282.75
  4. Step 4: Simplify right side
    233,149.50x = 125,516,266,947.56
  5. Step 5: Solve for x
    x = 125,516,266,947.56/233,149.50
  6. Step 6: Final answer
    x = 538,351.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.