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Finding the Third Proportional to 199,226.25 and 429,927.75

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Solution

The third proportional to 199,226.25 and 429,927.75 is: 927,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,226.25 : 429,927.75 = 429,927.75 : x
  2. Step 2: Convert to fraction form
    199,226.25/429,927.75 = 429,927.75/x
  3. Step 3: Cross multiply
    199,226.25x = 429,927.75 × 429,927.75
  4. Step 4: Simplify right side
    199,226.25x = 184,837,870,220.06
  5. Step 5: Solve for x
    x = 184,837,870,220.06/199,226.25
  6. Step 6: Final answer
    x = 927,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.