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Finding the Third Proportional to 225,146 and 356,512

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Solution

The third proportional to 225,146 and 356,512 is: 564,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,146 : 356,512 = 356,512 : x
  2. Step 2: Convert to fraction form
    225,146/356,512 = 356,512/x
  3. Step 3: Cross multiply
    225,146x = 356,512 × 356,512
  4. Step 4: Simplify right side
    225,146x = 127,100,806,144
  5. Step 5: Solve for x
    x = 127,100,806,144/225,146
  6. Step 6: Final answer
    x = 564,526.16

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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.