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Finding the Third Proportional to 156,733 and 235,097

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Solution

The third proportional to 156,733 and 235,097 is: 352,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,733 : 235,097 = 235,097 : x
  2. Step 2: Convert to fraction form
    156,733/235,097 = 235,097/x
  3. Step 3: Cross multiply
    156,733x = 235,097 × 235,097
  4. Step 4: Simplify right side
    156,733x = 55,270,599,409
  5. Step 5: Solve for x
    x = 55,270,599,409/156,733
  6. Step 6: Final answer
    x = 352,641.75

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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.