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Finding the Third Proportional to 229,367 and 354,278

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Solution

The third proportional to 229,367 and 354,278 is: 547,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,367 : 354,278 = 354,278 : x
  2. Step 2: Convert to fraction form
    229,367/354,278 = 354,278/x
  3. Step 3: Cross multiply
    229,367x = 354,278 × 354,278
  4. Step 4: Simplify right side
    229,367x = 125,512,901,284
  5. Step 5: Solve for x
    x = 125,512,901,284/229,367
  6. Step 6: Final answer
    x = 547,214.30

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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.