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Finding the Third Proportional to 165,596.63 and 262,641.94

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Solution

The third proportional to 165,596.63 and 262,641.94 is: 416,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,596.63 : 262,641.94 = 262,641.94 : x
  2. Step 2: Convert to fraction form
    165,596.63/262,641.94 = 262,641.94/x
  3. Step 3: Cross multiply
    165,596.63x = 262,641.94 × 262,641.94
  4. Step 4: Simplify right side
    165,596.63x = 68,980,787,333.75
  5. Step 5: Solve for x
    x = 68,980,787,333.75/165,596.63
  6. Step 6: Final answer
    x = 416,559.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.