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Finding the Third Proportional to 225,502 and 356,803

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Solution

The third proportional to 225,502 and 356,803 is: 564,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,502 : 356,803 = 356,803 : x
  2. Step 2: Convert to fraction form
    225,502/356,803 = 356,803/x
  3. Step 3: Cross multiply
    225,502x = 356,803 × 356,803
  4. Step 4: Simplify right side
    225,502x = 127,308,380,809
  5. Step 5: Solve for x
    x = 127,308,380,809/225,502
  6. Step 6: Final answer
    x = 564,555.44

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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.