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Finding the Third Proportional to 225,144 and 356,508

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Solution

The third proportional to 225,144 and 356,508 is: 564,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,144 : 356,508 = 356,508 : x
  2. Step 2: Convert to fraction form
    225,144/356,508 = 356,508/x
  3. Step 3: Cross multiply
    225,144x = 356,508 × 356,508
  4. Step 4: Simplify right side
    225,144x = 127,097,954,064
  5. Step 5: Solve for x
    x = 127,097,954,064/225,144
  6. Step 6: Final answer
    x = 564,518.50

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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.