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Finding the Third Proportional to 156,544 and 235,533

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Solution

The third proportional to 156,544 and 235,533 is: 354,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,544 : 235,533 = 235,533 : x
  2. Step 2: Convert to fraction form
    156,544/235,533 = 235,533/x
  3. Step 3: Cross multiply
    156,544x = 235,533 × 235,533
  4. Step 4: Simplify right side
    156,544x = 55,475,794,089
  5. Step 5: Solve for x
    x = 55,475,794,089/156,544
  6. Step 6: Final answer
    x = 354,378.28

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Why These Related Problems?

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