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Finding the Third Proportional to 196,913.25 and 431,964

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Solution

The third proportional to 196,913.25 and 431,964 is: 947,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,913.25 : 431,964 = 431,964 : x
  2. Step 2: Convert to fraction form
    196,913.25/431,964 = 431,964/x
  3. Step 3: Cross multiply
    196,913.25x = 431,964 × 431,964
  4. Step 4: Simplify right side
    196,913.25x = 186,592,897,296
  5. Step 5: Solve for x
    x = 186,592,897,296/196,913.25
  6. Step 6: Final answer
    x = 947,589.34

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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.