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Finding the Third Proportional to 236,857.13 and 364,072.31

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Solution

The third proportional to 236,857.13 and 364,072.31 is: 559,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,857.13 : 364,072.31 = 364,072.31 : x
  2. Step 2: Convert to fraction form
    236,857.13/364,072.31 = 364,072.31/x
  3. Step 3: Cross multiply
    236,857.13x = 364,072.31 × 364,072.31
  4. Step 4: Simplify right side
    236,857.13x = 132,548,648,729.10
  5. Step 5: Solve for x
    x = 132,548,648,729.10/236,857.13
  6. Step 6: Final answer
    x = 559,614.36

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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.