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Finding the Third Proportional to 156,876.75 and 235,673.25

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Solution

The third proportional to 156,876.75 and 235,673.25 is: 354,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,876.75 : 235,673.25 = 235,673.25 : x
  2. Step 2: Convert to fraction form
    156,876.75/235,673.25 = 235,673.25/x
  3. Step 3: Cross multiply
    156,876.75x = 235,673.25 × 235,673.25
  4. Step 4: Simplify right side
    156,876.75x = 55,541,880,765.56
  5. Step 5: Solve for x
    x = 55,541,880,765.56/156,876.75
  6. Step 6: Final answer
    x = 354,047.88

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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.