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Finding the Third Proportional to 196,008 and 286,446

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Solution

The third proportional to 196,008 and 286,446 is: 418,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,008 : 286,446 = 286,446 : x
  2. Step 2: Convert to fraction form
    196,008/286,446 = 286,446/x
  3. Step 3: Cross multiply
    196,008x = 286,446 × 286,446
  4. Step 4: Simplify right side
    196,008x = 82,051,310,916
  5. Step 5: Solve for x
    x = 82,051,310,916/196,008
  6. Step 6: Final answer
    x = 418,612.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.