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Finding the Third Proportional to 268,535.25 and 352,937.25

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Solution

The third proportional to 268,535.25 and 352,937.25 is: 463,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,535.25 : 352,937.25 = 352,937.25 : x
  2. Step 2: Convert to fraction form
    268,535.25/352,937.25 = 352,937.25/x
  3. Step 3: Cross multiply
    268,535.25x = 352,937.25 × 352,937.25
  4. Step 4: Simplify right side
    268,535.25x = 124,564,702,437.56
  5. Step 5: Solve for x
    x = 124,564,702,437.56/268,535.25
  6. Step 6: Final answer
    x = 463,867.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.