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Finding the Third Proportional to 182,364 and 379,221

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Solution

The third proportional to 182,364 and 379,221 is: 788,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,364 : 379,221 = 379,221 : x
  2. Step 2: Convert to fraction form
    182,364/379,221 = 379,221/x
  3. Step 3: Cross multiply
    182,364x = 379,221 × 379,221
  4. Step 4: Simplify right side
    182,364x = 143,808,566,841
  5. Step 5: Solve for x
    x = 143,808,566,841/182,364
  6. Step 6: Final answer
    x = 788,579.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.