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Finding the Third Proportional to 102,320 and 209,559

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Solution

The third proportional to 102,320 and 209,559 is: 429,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,320 : 209,559 = 209,559 : x
  2. Step 2: Convert to fraction form
    102,320/209,559 = 209,559/x
  3. Step 3: Cross multiply
    102,320x = 209,559 × 209,559
  4. Step 4: Simplify right side
    102,320x = 43,914,974,481
  5. Step 5: Solve for x
    x = 43,914,974,481/102,320
  6. Step 6: Final answer
    x = 429,192.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.