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Finding the Third Proportional to 165,570.75 and 262,288.13

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Solution

The third proportional to 165,570.75 and 262,288.13 is: 415,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,570.75 : 262,288.13 = 262,288.13 : x
  2. Step 2: Convert to fraction form
    165,570.75/262,288.13 = 262,288.13/x
  3. Step 3: Cross multiply
    165,570.75x = 262,288.13 × 262,288.13
  4. Step 4: Simplify right side
    165,570.75x = 68,795,060,516.02
  5. Step 5: Solve for x
    x = 68,795,060,516.02/165,570.75
  6. Step 6: Final answer
    x = 415,502.50

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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.