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Finding the Third Proportional to 165,065.48 and 361,774.13

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Solution

The third proportional to 165,065.48 and 361,774.13 is: 792,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,065.48 : 361,774.13 = 361,774.13 : x
  2. Step 2: Convert to fraction form
    165,065.48/361,774.13 = 361,774.13/x
  3. Step 3: Cross multiply
    165,065.48x = 361,774.13 × 361,774.13
  4. Step 4: Simplify right side
    165,065.48x = 130,880,517,519.52
  5. Step 5: Solve for x
    x = 130,880,517,519.52/165,065.48
  6. Step 6: Final answer
    x = 792,900.58

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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.