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Finding the Third Proportional to 175,465.75 and 262,029

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Solution

The third proportional to 175,465.75 and 262,029 is: 391,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,465.75 : 262,029 = 262,029 : x
  2. Step 2: Convert to fraction form
    175,465.75/262,029 = 262,029/x
  3. Step 3: Cross multiply
    175,465.75x = 262,029 × 262,029
  4. Step 4: Simplify right side
    175,465.75x = 68,659,196,841
  5. Step 5: Solve for x
    x = 68,659,196,841/175,465.75
  6. Step 6: Final answer
    x = 391,296.86

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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.