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Finding the Third Proportional to 225,108 and 356,454

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Solution

The third proportional to 225,108 and 356,454 is: 564,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,108 : 356,454 = 356,454 : x
  2. Step 2: Convert to fraction form
    225,108/356,454 = 356,454/x
  3. Step 3: Cross multiply
    225,108x = 356,454 × 356,454
  4. Step 4: Simplify right side
    225,108x = 127,059,454,116
  5. Step 5: Solve for x
    x = 127,059,454,116/225,108
  6. Step 6: Final answer
    x = 564,437.75

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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.