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Finding the Third Proportional to 225,660 and 348,274

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Solution

The third proportional to 225,660 and 348,274 is: 537,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,660 : 348,274 = 348,274 : x
  2. Step 2: Convert to fraction form
    225,660/348,274 = 348,274/x
  3. Step 3: Cross multiply
    225,660x = 348,274 × 348,274
  4. Step 4: Simplify right side
    225,660x = 121,294,779,076
  5. Step 5: Solve for x
    x = 121,294,779,076/225,660
  6. Step 6: Final answer
    x = 537,511.21

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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.