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Finding the Third Proportional to 146,128 and 225,348

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Solution

The third proportional to 146,128 and 225,348 is: 347,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,128 : 225,348 = 225,348 : x
  2. Step 2: Convert to fraction form
    146,128/225,348 = 225,348/x
  3. Step 3: Cross multiply
    146,128x = 225,348 × 225,348
  4. Step 4: Simplify right side
    146,128x = 50,781,721,104
  5. Step 5: Solve for x
    x = 50,781,721,104/146,128
  6. Step 6: Final answer
    x = 347,515.34

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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.