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Finding the Third Proportional to 96,320 and 209,326

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Solution

The third proportional to 96,320 and 209,326 is: 454,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,320 : 209,326 = 209,326 : x
  2. Step 2: Convert to fraction form
    96,320/209,326 = 209,326/x
  3. Step 3: Cross multiply
    96,320x = 209,326 × 209,326
  4. Step 4: Simplify right side
    96,320x = 43,817,374,276
  5. Step 5: Solve for x
    x = 43,817,374,276/96,320
  6. Step 6: Final answer
    x = 454,914.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.