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Finding the Third Proportional to 207,246 and 309,588

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Solution

The third proportional to 207,246 and 309,588 is: 462,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,246 : 309,588 = 309,588 : x
  2. Step 2: Convert to fraction form
    207,246/309,588 = 309,588/x
  3. Step 3: Cross multiply
    207,246x = 309,588 × 309,588
  4. Step 4: Simplify right side
    207,246x = 95,844,729,744
  5. Step 5: Solve for x
    x = 95,844,729,744/207,246
  6. Step 6: Final answer
    x = 462,468.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.