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Finding the Third Proportional to 194,069 and 289,905

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Solution

The third proportional to 194,069 and 289,905 is: 433,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,069 : 289,905 = 289,905 : x
  2. Step 2: Convert to fraction form
    194,069/289,905 = 289,905/x
  3. Step 3: Cross multiply
    194,069x = 289,905 × 289,905
  4. Step 4: Simplify right side
    194,069x = 84,044,909,025
  5. Step 5: Solve for x
    x = 84,044,909,025/194,069
  6. Step 6: Final answer
    x = 433,067.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.