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Finding the Third Proportional to 225,792 and 338,670

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Solution

The third proportional to 225,792 and 338,670 is: 507,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,792 : 338,670 = 338,670 : x
  2. Step 2: Convert to fraction form
    225,792/338,670 = 338,670/x
  3. Step 3: Cross multiply
    225,792x = 338,670 × 338,670
  4. Step 4: Simplify right side
    225,792x = 114,697,368,900
  5. Step 5: Solve for x
    x = 114,697,368,900/225,792
  6. Step 6: Final answer
    x = 507,978.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.