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Finding the Third Proportional to 156,003 and 231,710.25

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Solution

The third proportional to 156,003 and 231,710.25 is: 344,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,003 : 231,710.25 = 231,710.25 : x
  2. Step 2: Convert to fraction form
    156,003/231,710.25 = 231,710.25/x
  3. Step 3: Cross multiply
    156,003x = 231,710.25 × 231,710.25
  4. Step 4: Simplify right side
    156,003x = 53,689,639,955.06
  5. Step 5: Solve for x
    x = 53,689,639,955.06/156,003
  6. Step 6: Final answer
    x = 344,157.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.