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Finding the Third Proportional to 225,148 and 356,515

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Solution

The third proportional to 225,148 and 356,515 is: 564,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,148 : 356,515 = 356,515 : x
  2. Step 2: Convert to fraction form
    225,148/356,515 = 356,515/x
  3. Step 3: Cross multiply
    225,148x = 356,515 × 356,515
  4. Step 4: Simplify right side
    225,148x = 127,102,945,225
  5. Step 5: Solve for x
    x = 127,102,945,225/225,148
  6. Step 6: Final answer
    x = 564,530.64

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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.