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Finding the Third Proportional to 207,222 and 309,553.50

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Solution

The third proportional to 207,222 and 309,553.50 is: 462,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222 : 309,553.50 = 309,553.50 : x
  2. Step 2: Convert to fraction form
    207,222/309,553.50 = 309,553.50/x
  3. Step 3: Cross multiply
    207,222x = 309,553.50 × 309,553.50
  4. Step 4: Simplify right side
    207,222x = 95,823,369,362.25
  5. Step 5: Solve for x
    x = 95,823,369,362.25/207,222
  6. Step 6: Final answer
    x = 462,418.90

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