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Finding the Third Proportional to 175,465.13 and 262,027.69

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Solution

The third proportional to 175,465.13 and 262,027.69 is: 391,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,465.13 : 262,027.69 = 262,027.69 : x
  2. Step 2: Convert to fraction form
    175,465.13/262,027.69 = 262,027.69/x
  3. Step 3: Cross multiply
    175,465.13x = 262,027.69 × 262,027.69
  4. Step 4: Simplify right side
    175,465.13x = 68,658,509,016.60
  5. Step 5: Solve for x
    x = 68,658,509,016.60/175,465.13
  6. Step 6: Final answer
    x = 391,294.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.