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Finding the Third Proportional to 140,415.75 and 226,201.50

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Solution

The third proportional to 140,415.75 and 226,201.50 is: 364,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,415.75 : 226,201.50 = 226,201.50 : x
  2. Step 2: Convert to fraction form
    140,415.75/226,201.50 = 226,201.50/x
  3. Step 3: Cross multiply
    140,415.75x = 226,201.50 × 226,201.50
  4. Step 4: Simplify right side
    140,415.75x = 51,167,118,602.25
  5. Step 5: Solve for x
    x = 51,167,118,602.25/140,415.75
  6. Step 6: Final answer
    x = 364,397.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.