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Finding the Third Proportional to 168,313 and 362,870

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Solution

The third proportional to 168,313 and 362,870 is: 782,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,313 : 362,870 = 362,870 : x
  2. Step 2: Convert to fraction form
    168,313/362,870 = 362,870/x
  3. Step 3: Cross multiply
    168,313x = 362,870 × 362,870
  4. Step 4: Simplify right side
    168,313x = 131,674,636,900
  5. Step 5: Solve for x
    x = 131,674,636,900/168,313
  6. Step 6: Final answer
    x = 782,320.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.