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Finding the Third Proportional to 225,772 and 309,594

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Solution

The third proportional to 225,772 and 309,594 is: 424,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,772 : 309,594 = 309,594 : x
  2. Step 2: Convert to fraction form
    225,772/309,594 = 309,594/x
  3. Step 3: Cross multiply
    225,772x = 309,594 × 309,594
  4. Step 4: Simplify right side
    225,772x = 95,848,444,836
  5. Step 5: Solve for x
    x = 95,848,444,836/225,772
  6. Step 6: Final answer
    x = 424,536.46

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Why These Related Problems?

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