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Finding the Third Proportional to 83,343 and 179,808

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Solution

The third proportional to 83,343 and 179,808 is: 387,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343 : 179,808 = 179,808 : x
  2. Step 2: Convert to fraction form
    83,343/179,808 = 179,808/x
  3. Step 3: Cross multiply
    83,343x = 179,808 × 179,808
  4. Step 4: Simplify right side
    83,343x = 32,330,916,864
  5. Step 5: Solve for x
    x = 32,330,916,864/83,343
  6. Step 6: Final answer
    x = 387,926.00

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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.