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Finding the Third Proportional to 194,031 and 289,849.50

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Solution

The third proportional to 194,031 and 289,849.50 is: 432,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,031 : 289,849.50 = 289,849.50 : x
  2. Step 2: Convert to fraction form
    194,031/289,849.50 = 289,849.50/x
  3. Step 3: Cross multiply
    194,031x = 289,849.50 × 289,849.50
  4. Step 4: Simplify right side
    194,031x = 84,012,732,650.25
  5. Step 5: Solve for x
    x = 84,012,732,650.25/194,031
  6. Step 6: Final answer
    x = 432,986.13

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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.