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Finding the Third Proportional to 196,915 and 431,954

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Solution

The third proportional to 196,915 and 431,954 is: 947,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,915 : 431,954 = 431,954 : x
  2. Step 2: Convert to fraction form
    196,915/431,954 = 431,954/x
  3. Step 3: Cross multiply
    196,915x = 431,954 × 431,954
  4. Step 4: Simplify right side
    196,915x = 186,584,258,116
  5. Step 5: Solve for x
    x = 186,584,258,116/196,915
  6. Step 6: Final answer
    x = 947,537.05

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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.