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Finding the Third Proportional to 156,766 and 235,503

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Solution

The third proportional to 156,766 and 235,503 is: 353,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766 : 235,503 = 235,503 : x
  2. Step 2: Convert to fraction form
    156,766/235,503 = 235,503/x
  3. Step 3: Cross multiply
    156,766x = 235,503 × 235,503
  4. Step 4: Simplify right side
    156,766x = 55,461,663,009
  5. Step 5: Solve for x
    x = 55,461,663,009/156,766
  6. Step 6: Final answer
    x = 353,786.30

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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.