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Finding the Third Proportional to 165,358.76 and 362,246.98

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Solution

The third proportional to 165,358.76 and 362,246.98 is: 793,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,358.76 : 362,246.98 = 362,246.98 : x
  2. Step 2: Convert to fraction form
    165,358.76/362,246.98 = 362,246.98/x
  3. Step 3: Cross multiply
    165,358.76x = 362,246.98 × 362,246.98
  4. Step 4: Simplify right side
    165,358.76x = 131,222,872,028.67
  5. Step 5: Solve for x
    x = 131,222,872,028.67/165,358.76
  6. Step 6: Final answer
    x = 793,564.69

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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.