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Finding the Third Proportional to 196,927 and 432,146

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Solution

The third proportional to 196,927 and 432,146 is: 948,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,927 : 432,146 = 432,146 : x
  2. Step 2: Convert to fraction form
    196,927/432,146 = 432,146/x
  3. Step 3: Cross multiply
    196,927x = 432,146 × 432,146
  4. Step 4: Simplify right side
    196,927x = 186,750,165,316
  5. Step 5: Solve for x
    x = 186,750,165,316/196,927
  6. Step 6: Final answer
    x = 948,321.79

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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.