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Finding the Third Proportional to 156,778 and 235,524

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Solution

The third proportional to 156,778 and 235,524 is: 353,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 235,524 = 235,524 : x
  2. Step 2: Convert to fraction form
    156,778/235,524 = 235,524/x
  3. Step 3: Cross multiply
    156,778x = 235,524 × 235,524
  4. Step 4: Simplify right side
    156,778x = 55,471,554,576
  5. Step 5: Solve for x
    x = 55,471,554,576/156,778
  6. Step 6: Final answer
    x = 353,822.31

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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.