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Finding the Third Proportional to 165,574.75 and 262,293.38

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Solution

The third proportional to 165,574.75 and 262,293.38 is: 415,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,574.75 : 262,293.38 = 262,293.38 : x
  2. Step 2: Convert to fraction form
    165,574.75/262,293.38 = 262,293.38/x
  3. Step 3: Cross multiply
    165,574.75x = 262,293.38 × 262,293.38
  4. Step 4: Simplify right side
    165,574.75x = 68,797,814,568.89
  5. Step 5: Solve for x
    x = 68,797,814,568.89/165,574.75
  6. Step 6: Final answer
    x = 415,509.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.