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Finding the Third Proportional to 225,508 and 346,740

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Solution

The third proportional to 225,508 and 346,740 is: 533,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508 : 346,740 = 346,740 : x
  2. Step 2: Convert to fraction form
    225,508/346,740 = 346,740/x
  3. Step 3: Cross multiply
    225,508x = 346,740 × 346,740
  4. Step 4: Simplify right side
    225,508x = 120,228,627,600
  5. Step 5: Solve for x
    x = 120,228,627,600/225,508
  6. Step 6: Final answer
    x = 533,145.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.