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Finding the Third Proportional to 151,736 and 235,754

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Solution

The third proportional to 151,736 and 235,754 is: 366,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,736 : 235,754 = 235,754 : x
  2. Step 2: Convert to fraction form
    151,736/235,754 = 235,754/x
  3. Step 3: Cross multiply
    151,736x = 235,754 × 235,754
  4. Step 4: Simplify right side
    151,736x = 55,579,948,516
  5. Step 5: Solve for x
    x = 55,579,948,516/151,736
  6. Step 6: Final answer
    x = 366,293.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.