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Finding the Third Proportional to 147,817 and 228,286

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Solution

The third proportional to 147,817 and 228,286 is: 352,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,817 : 228,286 = 228,286 : x
  2. Step 2: Convert to fraction form
    147,817/228,286 = 228,286/x
  3. Step 3: Cross multiply
    147,817x = 228,286 × 228,286
  4. Step 4: Simplify right side
    147,817x = 52,114,497,796
  5. Step 5: Solve for x
    x = 52,114,497,796/147,817
  6. Step 6: Final answer
    x = 352,560.92

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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.