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Finding the Third Proportional to 165,903.19 and 362,854.69

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Solution

The third proportional to 165,903.19 and 362,854.69 is: 793,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903.19 : 362,854.69 = 362,854.69 : x
  2. Step 2: Convert to fraction form
    165,903.19/362,854.69 = 362,854.69/x
  3. Step 3: Cross multiply
    165,903.19x = 362,854.69 × 362,854.69
  4. Step 4: Simplify right side
    165,903.19x = 131,663,524,240.72
  5. Step 5: Solve for x
    x = 131,663,524,240.72/165,903.19
  6. Step 6: Final answer
    x = 793,616.60

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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.