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Finding the Third Proportional to 207,252 and 309,598

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Solution

The third proportional to 207,252 and 309,598 is: 462,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 309,598 = 309,598 : x
  2. Step 2: Convert to fraction form
    207,252/309,598 = 309,598/x
  3. Step 3: Cross multiply
    207,252x = 309,598 × 309,598
  4. Step 4: Simplify right side
    207,252x = 95,850,921,604
  5. Step 5: Solve for x
    x = 95,850,921,604/207,252
  6. Step 6: Final answer
    x = 462,484.91

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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.