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Finding the Third Proportional to 182,984 and 391,336

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Solution

The third proportional to 182,984 and 391,336 is: 836,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,984 : 391,336 = 391,336 : x
  2. Step 2: Convert to fraction form
    182,984/391,336 = 391,336/x
  3. Step 3: Cross multiply
    182,984x = 391,336 × 391,336
  4. Step 4: Simplify right side
    182,984x = 153,143,864,896
  5. Step 5: Solve for x
    x = 153,143,864,896/182,984
  6. Step 6: Final answer
    x = 836,924.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.