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Finding the Third Proportional to 84,857.31 and 176,685.68

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Solution

The third proportional to 84,857.31 and 176,685.68 is: 367,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,857.31 : 176,685.68 = 176,685.68 : x
  2. Step 2: Convert to fraction form
    84,857.31/176,685.68 = 176,685.68/x
  3. Step 3: Cross multiply
    84,857.31x = 176,685.68 × 176,685.68
  4. Step 4: Simplify right side
    84,857.31x = 31,217,829,406.63
  5. Step 5: Solve for x
    x = 31,217,829,406.63/84,857.31
  6. Step 6: Final answer
    x = 367,886.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.