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Finding the Third Proportional to 194,038 and 289,859

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Solution

The third proportional to 194,038 and 289,859 is: 432,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,038 : 289,859 = 289,859 : x
  2. Step 2: Convert to fraction form
    194,038/289,859 = 289,859/x
  3. Step 3: Cross multiply
    194,038x = 289,859 × 289,859
  4. Step 4: Simplify right side
    194,038x = 84,018,239,881
  5. Step 5: Solve for x
    x = 84,018,239,881/194,038
  6. Step 6: Final answer
    x = 432,998.90

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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.