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Finding the Third Proportional to 165,934.56 and 364,125.13

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Solution

The third proportional to 165,934.56 and 364,125.13 is: 799,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,934.56 : 364,125.13 = 364,125.13 : x
  2. Step 2: Convert to fraction form
    165,934.56/364,125.13 = 364,125.13/x
  3. Step 3: Cross multiply
    165,934.56x = 364,125.13 × 364,125.13
  4. Step 4: Simplify right side
    165,934.56x = 132,587,106,656.27
  5. Step 5: Solve for x
    x = 132,587,106,656.27/165,934.56
  6. Step 6: Final answer
    x = 799,032.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.