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Finding the Third Proportional to 225,310 and 347,902

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Solution

The third proportional to 225,310 and 347,902 is: 537,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,310 : 347,902 = 347,902 : x
  2. Step 2: Convert to fraction form
    225,310/347,902 = 347,902/x
  3. Step 3: Cross multiply
    225,310x = 347,902 × 347,902
  4. Step 4: Simplify right side
    225,310x = 121,035,801,604
  5. Step 5: Solve for x
    x = 121,035,801,604/225,310
  6. Step 6: Final answer
    x = 537,196.76

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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.