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Finding the Third Proportional to 165,953.58 and 356,100.84

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Solution

The third proportional to 165,953.58 and 356,100.84 is: 764,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,953.58 : 356,100.84 = 356,100.84 : x
  2. Step 2: Convert to fraction form
    165,953.58/356,100.84 = 356,100.84/x
  3. Step 3: Cross multiply
    165,953.58x = 356,100.84 × 356,100.84
  4. Step 4: Simplify right side
    165,953.58x = 126,807,806,746.40
  5. Step 5: Solve for x
    x = 126,807,806,746.40/165,953.58
  6. Step 6: Final answer
    x = 764,116.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.