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Finding the Third Proportional to 156,842 and 235,617

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Solution

The third proportional to 156,842 and 235,617 is: 353,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,842 : 235,617 = 235,617 : x
  2. Step 2: Convert to fraction form
    156,842/235,617 = 235,617/x
  3. Step 3: Cross multiply
    156,842x = 235,617 × 235,617
  4. Step 4: Simplify right side
    156,842x = 55,515,370,689
  5. Step 5: Solve for x
    x = 55,515,370,689/156,842
  6. Step 6: Final answer
    x = 353,957.30

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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.