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Finding the Third Proportional to 84,460 and 182,312

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Solution

The third proportional to 84,460 and 182,312 is: 393,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460 : 182,312 = 182,312 : x
  2. Step 2: Convert to fraction form
    84,460/182,312 = 182,312/x
  3. Step 3: Cross multiply
    84,460x = 182,312 × 182,312
  4. Step 4: Simplify right side
    84,460x = 33,237,665,344
  5. Step 5: Solve for x
    x = 33,237,665,344/84,460
  6. Step 6: Final answer
    x = 393,531.44

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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.