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Finding the Third Proportional to 225,480 and 356,772

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Solution

The third proportional to 225,480 and 356,772 is: 564,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,480 : 356,772 = 356,772 : x
  2. Step 2: Convert to fraction form
    225,480/356,772 = 356,772/x
  3. Step 3: Cross multiply
    225,480x = 356,772 × 356,772
  4. Step 4: Simplify right side
    225,480x = 127,286,259,984
  5. Step 5: Solve for x
    x = 127,286,259,984/225,480
  6. Step 6: Final answer
    x = 564,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.