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Finding the Third Proportional to 156,642 and 235,011

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Solution

The third proportional to 156,642 and 235,011 is: 352,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642 : 235,011 = 235,011 : x
  2. Step 2: Convert to fraction form
    156,642/235,011 = 235,011/x
  3. Step 3: Cross multiply
    156,642x = 235,011 × 235,011
  4. Step 4: Simplify right side
    156,642x = 55,230,170,121
  5. Step 5: Solve for x
    x = 55,230,170,121/156,642
  6. Step 6: Final answer
    x = 352,588.51

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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.