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Finding the Third Proportional to 156,788 and 235,535.25

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Solution

The third proportional to 156,788 and 235,535.25 is: 353,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,788 : 235,535.25 = 235,535.25 : x
  2. Step 2: Convert to fraction form
    156,788/235,535.25 = 235,535.25/x
  3. Step 3: Cross multiply
    156,788x = 235,535.25 × 235,535.25
  4. Step 4: Simplify right side
    156,788x = 55,476,853,992.56
  5. Step 5: Solve for x
    x = 55,476,853,992.56/156,788
  6. Step 6: Final answer
    x = 353,833.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.