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Finding the Third Proportional to 225,596 and 356,966

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Solution

The third proportional to 225,596 and 356,966 is: 564,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,596 : 356,966 = 356,966 : x
  2. Step 2: Convert to fraction form
    225,596/356,966 = 356,966/x
  3. Step 3: Cross multiply
    225,596x = 356,966 × 356,966
  4. Step 4: Simplify right side
    225,596x = 127,424,725,156
  5. Step 5: Solve for x
    x = 127,424,725,156/225,596
  6. Step 6: Final answer
    x = 564,835.92

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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.