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Finding the Third Proportional to 225,652 and 348,262

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Solution

The third proportional to 225,652 and 348,262 is: 537,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,652 : 348,262 = 348,262 : x
  2. Step 2: Convert to fraction form
    225,652/348,262 = 348,262/x
  3. Step 3: Cross multiply
    225,652x = 348,262 × 348,262
  4. Step 4: Simplify right side
    225,652x = 121,286,420,644
  5. Step 5: Solve for x
    x = 121,286,420,644/225,652
  6. Step 6: Final answer
    x = 537,493.22

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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.