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Finding the Third Proportional to 97,256 and 209,392

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Solution

The third proportional to 97,256 and 209,392 is: 450,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,256 : 209,392 = 209,392 : x
  2. Step 2: Convert to fraction form
    97,256/209,392 = 209,392/x
  3. Step 3: Cross multiply
    97,256x = 209,392 × 209,392
  4. Step 4: Simplify right side
    97,256x = 43,845,009,664
  5. Step 5: Solve for x
    x = 43,845,009,664/97,256
  6. Step 6: Final answer
    x = 450,820.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.