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Finding the Third Proportional to 196,923 and 432,141

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Solution

The third proportional to 196,923 and 432,141 is: 948,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,923 : 432,141 = 432,141 : x
  2. Step 2: Convert to fraction form
    196,923/432,141 = 432,141/x
  3. Step 3: Cross multiply
    196,923x = 432,141 × 432,141
  4. Step 4: Simplify right side
    196,923x = 186,745,843,881
  5. Step 5: Solve for x
    x = 186,745,843,881/196,923
  6. Step 6: Final answer
    x = 948,319.11

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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.