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Finding the Third Proportional to 236,873.31 and 364,458.81

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Solution

The third proportional to 236,873.31 and 364,458.81 is: 560,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,873.31 : 364,458.81 = 364,458.81 : x
  2. Step 2: Convert to fraction form
    236,873.31/364,458.81 = 364,458.81/x
  3. Step 3: Cross multiply
    236,873.31x = 364,458.81 × 364,458.81
  4. Step 4: Simplify right side
    236,873.31x = 132,830,226,008.91
  5. Step 5: Solve for x
    x = 132,830,226,008.91/236,873.31
  6. Step 6: Final answer
    x = 560,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.