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Finding the Third Proportional to 84,228 and 182,461.13

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Solution

The third proportional to 84,228 and 182,461.13 is: 395,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228 : 182,461.13 = 182,461.13 : x
  2. Step 2: Convert to fraction form
    84,228/182,461.13 = 182,461.13/x
  3. Step 3: Cross multiply
    84,228x = 182,461.13 × 182,461.13
  4. Step 4: Simplify right side
    84,228x = 33,292,062,136.27
  5. Step 5: Solve for x
    x = 33,292,062,136.27/84,228
  6. Step 6: Final answer
    x = 395,261.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.