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Finding the Third Proportional to 233,921.25 and 352,544.63

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Solution

The third proportional to 233,921.25 and 352,544.63 is: 531,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,921.25 : 352,544.63 = 352,544.63 : x
  2. Step 2: Convert to fraction form
    233,921.25/352,544.63 = 352,544.63/x
  3. Step 3: Cross multiply
    233,921.25x = 352,544.63 × 352,544.63
  4. Step 4: Simplify right side
    233,921.25x = 124,287,712,616.39
  5. Step 5: Solve for x
    x = 124,287,712,616.39/233,921.25
  6. Step 6: Final answer
    x = 531,322.88

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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.