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Finding the Third Proportional to 210,770 and 316,162

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Solution

The third proportional to 210,770 and 316,162 is: 474,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770 : 316,162 = 316,162 : x
  2. Step 2: Convert to fraction form
    210,770/316,162 = 316,162/x
  3. Step 3: Cross multiply
    210,770x = 316,162 × 316,162
  4. Step 4: Simplify right side
    210,770x = 99,958,410,244
  5. Step 5: Solve for x
    x = 99,958,410,244/210,770
  6. Step 6: Final answer
    x = 474,253.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.