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Finding the Third Proportional to 225,660 and 348,276

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Solution

The third proportional to 225,660 and 348,276 is: 537,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,660 : 348,276 = 348,276 : x
  2. Step 2: Convert to fraction form
    225,660/348,276 = 348,276/x
  3. Step 3: Cross multiply
    225,660x = 348,276 × 348,276
  4. Step 4: Simplify right side
    225,660x = 121,296,172,176
  5. Step 5: Solve for x
    x = 121,296,172,176/225,660
  6. Step 6: Final answer
    x = 537,517.38

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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.