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Finding the Third Proportional to 150,447.38 and 228,632.63

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Solution

The third proportional to 150,447.38 and 228,632.63 is: 347,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,447.38 : 228,632.63 = 228,632.63 : x
  2. Step 2: Convert to fraction form
    150,447.38/228,632.63 = 228,632.63/x
  3. Step 3: Cross multiply
    150,447.38x = 228,632.63 × 228,632.63
  4. Step 4: Simplify right side
    150,447.38x = 52,272,877,214.39
  5. Step 5: Solve for x
    x = 52,272,877,214.39/150,447.38
  6. Step 6: Final answer
    x = 347,449.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.