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Finding the Third Proportional to 156,823 and 235,589

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Solution

The third proportional to 156,823 and 235,589 is: 353,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,823 : 235,589 = 235,589 : x
  2. Step 2: Convert to fraction form
    156,823/235,589 = 235,589/x
  3. Step 3: Cross multiply
    156,823x = 235,589 × 235,589
  4. Step 4: Simplify right side
    156,823x = 55,502,176,921
  5. Step 5: Solve for x
    x = 55,502,176,921/156,823
  6. Step 6: Final answer
    x = 353,916.05

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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.