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Finding the Third Proportional to 119,343.38 and 257,367.38

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Solution

The third proportional to 119,343.38 and 257,367.38 is: 555,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343.38 : 257,367.38 = 257,367.38 : x
  2. Step 2: Convert to fraction form
    119,343.38/257,367.38 = 257,367.38/x
  3. Step 3: Cross multiply
    119,343.38x = 257,367.38 × 257,367.38
  4. Step 4: Simplify right side
    119,343.38x = 66,237,965,714.39
  5. Step 5: Solve for x
    x = 66,237,965,714.39/119,343.38
  6. Step 6: Final answer
    x = 555,020.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.