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Finding the Third Proportional to 227,386 and 318,063

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Solution

The third proportional to 227,386 and 318,063 is: 444,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,386 : 318,063 = 318,063 : x
  2. Step 2: Convert to fraction form
    227,386/318,063 = 318,063/x
  3. Step 3: Cross multiply
    227,386x = 318,063 × 318,063
  4. Step 4: Simplify right side
    227,386x = 101,164,071,969
  5. Step 5: Solve for x
    x = 101,164,071,969/227,386
  6. Step 6: Final answer
    x = 444,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.