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Finding the Third Proportional to 236,857.88 and 364,072.50

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Solution

The third proportional to 236,857.88 and 364,072.50 is: 559,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,857.88 : 364,072.50 = 364,072.50 : x
  2. Step 2: Convert to fraction form
    236,857.88/364,072.50 = 364,072.50/x
  3. Step 3: Cross multiply
    236,857.88x = 364,072.50 × 364,072.50
  4. Step 4: Simplify right side
    236,857.88x = 132,548,785,256.25
  5. Step 5: Solve for x
    x = 132,548,785,256.25/236,857.88
  6. Step 6: Final answer
    x = 559,613.17

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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.