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Finding the Third Proportional to 199,680.38 and 429,807.75

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Solution

The third proportional to 199,680.38 and 429,807.75 is: 925,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,680.38 : 429,807.75 = 429,807.75 : x
  2. Step 2: Convert to fraction form
    199,680.38/429,807.75 = 429,807.75/x
  3. Step 3: Cross multiply
    199,680.38x = 429,807.75 × 429,807.75
  4. Step 4: Simplify right side
    199,680.38x = 184,734,701,960.06
  5. Step 5: Solve for x
    x = 184,734,701,960.06/199,680.38
  6. Step 6: Final answer
    x = 925,152.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.