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Finding the Third Proportional to 225,306 and 492,162

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Solution

The third proportional to 225,306 and 492,162 is: 1,075,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,306 : 492,162 = 492,162 : x
  2. Step 2: Convert to fraction form
    225,306/492,162 = 492,162/x
  3. Step 3: Cross multiply
    225,306x = 492,162 × 492,162
  4. Step 4: Simplify right side
    225,306x = 242,223,434,244
  5. Step 5: Solve for x
    x = 242,223,434,244/225,306
  6. Step 6: Final answer
    x = 1,075,086.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.