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Finding the Third Proportional to 84,462 and 183,528

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Solution

The third proportional to 84,462 and 183,528 is: 398,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462 : 183,528 = 183,528 : x
  2. Step 2: Convert to fraction form
    84,462/183,528 = 183,528/x
  3. Step 3: Cross multiply
    84,462x = 183,528 × 183,528
  4. Step 4: Simplify right side
    84,462x = 33,682,526,784
  5. Step 5: Solve for x
    x = 33,682,526,784/84,462
  6. Step 6: Final answer
    x = 398,789.12

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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.