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Finding the Third Proportional to 194,046 and 289,875

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Solution

The third proportional to 194,046 and 289,875 is: 433,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,046 : 289,875 = 289,875 : x
  2. Step 2: Convert to fraction form
    194,046/289,875 = 289,875/x
  3. Step 3: Cross multiply
    194,046x = 289,875 × 289,875
  4. Step 4: Simplify right side
    194,046x = 84,027,515,625
  5. Step 5: Solve for x
    x = 84,027,515,625/194,046
  6. Step 6: Final answer
    x = 433,028.85

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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.