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Finding the Third Proportional to 196,832.50 and 431,800

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Solution

The third proportional to 196,832.50 and 431,800 is: 947,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,832.50 : 431,800 = 431,800 : x
  2. Step 2: Convert to fraction form
    196,832.50/431,800 = 431,800/x
  3. Step 3: Cross multiply
    196,832.50x = 431,800 × 431,800
  4. Step 4: Simplify right side
    196,832.50x = 186,451,240,000
  5. Step 5: Solve for x
    x = 186,451,240,000/196,832.50
  6. Step 6: Final answer
    x = 947,258.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.