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Finding the Third Proportional to 225,973 and 309,858

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Solution

The third proportional to 225,973 and 309,858 is: 424,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,973 : 309,858 = 309,858 : x
  2. Step 2: Convert to fraction form
    225,973/309,858 = 309,858/x
  3. Step 3: Cross multiply
    225,973x = 309,858 × 309,858
  4. Step 4: Simplify right side
    225,973x = 96,011,980,164
  5. Step 5: Solve for x
    x = 96,011,980,164/225,973
  6. Step 6: Final answer
    x = 424,882.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.