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Finding the Third Proportional to 165,682.50 and 357,831

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Solution

The third proportional to 165,682.50 and 357,831 is: 772,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,682.50 : 357,831 = 357,831 : x
  2. Step 2: Convert to fraction form
    165,682.50/357,831 = 357,831/x
  3. Step 3: Cross multiply
    165,682.50x = 357,831 × 357,831
  4. Step 4: Simplify right side
    165,682.50x = 128,043,024,561
  5. Step 5: Solve for x
    x = 128,043,024,561/165,682.50
  6. Step 6: Final answer
    x = 772,821.66

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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.