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Finding the Third Proportional to 167,940 and 362,943

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Solution

The third proportional to 167,940 and 362,943 is: 784,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,940 : 362,943 = 362,943 : x
  2. Step 2: Convert to fraction form
    167,940/362,943 = 362,943/x
  3. Step 3: Cross multiply
    167,940x = 362,943 × 362,943
  4. Step 4: Simplify right side
    167,940x = 131,727,621,249
  5. Step 5: Solve for x
    x = 131,727,621,249/167,940
  6. Step 6: Final answer
    x = 784,373.12

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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.