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Finding the Third Proportional to 250,605 and 362,080.13

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Solution

The third proportional to 250,605 and 362,080.13 is: 523,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,605 : 362,080.13 = 362,080.13 : x
  2. Step 2: Convert to fraction form
    250,605/362,080.13 = 362,080.13/x
  3. Step 3: Cross multiply
    250,605x = 362,080.13 × 362,080.13
  4. Step 4: Simplify right side
    250,605x = 131,102,016,920.02
  5. Step 5: Solve for x
    x = 131,102,016,920.02/250,605
  6. Step 6: Final answer
    x = 523,142.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.