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Finding the Third Proportional to 169,216.50 and 253,858

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Solution

The third proportional to 169,216.50 and 253,858 is: 380,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,216.50 : 253,858 = 253,858 : x
  2. Step 2: Convert to fraction form
    169,216.50/253,858 = 253,858/x
  3. Step 3: Cross multiply
    169,216.50x = 253,858 × 253,858
  4. Step 4: Simplify right side
    169,216.50x = 64,443,884,164
  5. Step 5: Solve for x
    x = 64,443,884,164/169,216.50
  6. Step 6: Final answer
    x = 380,836.88

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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.