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Finding the Third Proportional to 233,533.13 and 352,410.75

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Solution

The third proportional to 233,533.13 and 352,410.75 is: 531,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,533.13 : 352,410.75 = 352,410.75 : x
  2. Step 2: Convert to fraction form
    233,533.13/352,410.75 = 352,410.75/x
  3. Step 3: Cross multiply
    233,533.13x = 352,410.75 × 352,410.75
  4. Step 4: Simplify right side
    233,533.13x = 124,193,336,715.56
  5. Step 5: Solve for x
    x = 124,193,336,715.56/233,533.13
  6. Step 6: Final answer
    x = 531,801.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.