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Finding the Third Proportional to 236,857.50 and 364,071.75

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Solution

The third proportional to 236,857.50 and 364,071.75 is: 559,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,857.50 : 364,071.75 = 364,071.75 : x
  2. Step 2: Convert to fraction form
    236,857.50/364,071.75 = 364,071.75/x
  3. Step 3: Cross multiply
    236,857.50x = 364,071.75 × 364,071.75
  4. Step 4: Simplify right side
    236,857.50x = 132,548,239,148.06
  5. Step 5: Solve for x
    x = 132,548,239,148.06/236,857.50
  6. Step 6: Final answer
    x = 559,611.75

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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.