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Finding the Third Proportional to 84,734 and 182,602

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Solution

The third proportional to 84,734 and 182,602 is: 393,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734 : 182,602 = 182,602 : x
  2. Step 2: Convert to fraction form
    84,734/182,602 = 182,602/x
  3. Step 3: Cross multiply
    84,734x = 182,602 × 182,602
  4. Step 4: Simplify right side
    84,734x = 33,343,490,404
  5. Step 5: Solve for x
    x = 33,343,490,404/84,734
  6. Step 6: Final answer
    x = 393,507.81

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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.