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Finding the Third Proportional to 150,468 and 228,656

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Solution

The third proportional to 150,468 and 228,656 is: 347,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,468 : 228,656 = 228,656 : x
  2. Step 2: Convert to fraction form
    150,468/228,656 = 228,656/x
  3. Step 3: Cross multiply
    150,468x = 228,656 × 228,656
  4. Step 4: Simplify right side
    150,468x = 52,283,566,336
  5. Step 5: Solve for x
    x = 52,283,566,336/150,468
  6. Step 6: Final answer
    x = 347,472.99

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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.