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Finding the Third Proportional to 97,348 and 209,239

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Solution

The third proportional to 97,348 and 209,239 is: 449,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348 : 209,239 = 209,239 : x
  2. Step 2: Convert to fraction form
    97,348/209,239 = 209,239/x
  3. Step 3: Cross multiply
    97,348x = 209,239 × 209,239
  4. Step 4: Simplify right side
    97,348x = 43,780,959,121
  5. Step 5: Solve for x
    x = 43,780,959,121/97,348
  6. Step 6: Final answer
    x = 449,736.61

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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.