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Finding the Third Proportional to 182,113 and 371,443

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Solution

The third proportional to 182,113 and 371,443 is: 757,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,113 : 371,443 = 371,443 : x
  2. Step 2: Convert to fraction form
    182,113/371,443 = 371,443/x
  3. Step 3: Cross multiply
    182,113x = 371,443 × 371,443
  4. Step 4: Simplify right side
    182,113x = 137,969,902,249
  5. Step 5: Solve for x
    x = 137,969,902,249/182,113
  6. Step 6: Final answer
    x = 757,606.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.