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Finding the Third Proportional to 97,360 and 209,262

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Solution

The third proportional to 97,360 and 209,262 is: 449,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,360 : 209,262 = 209,262 : x
  2. Step 2: Convert to fraction form
    97,360/209,262 = 209,262/x
  3. Step 3: Cross multiply
    97,360x = 209,262 × 209,262
  4. Step 4: Simplify right side
    97,360x = 43,790,584,644
  5. Step 5: Solve for x
    x = 43,790,584,644/97,360
  6. Step 6: Final answer
    x = 449,780.04

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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.