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Finding the Third Proportional to 194,031.50 and 289,850.25

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Solution

The third proportional to 194,031.50 and 289,850.25 is: 432,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,031.50 : 289,850.25 = 289,850.25 : x
  2. Step 2: Convert to fraction form
    194,031.50/289,850.25 = 289,850.25/x
  3. Step 3: Cross multiply
    194,031.50x = 289,850.25 × 289,850.25
  4. Step 4: Simplify right side
    194,031.50x = 84,013,167,425.06
  5. Step 5: Solve for x
    x = 84,013,167,425.06/194,031.50
  6. Step 6: Final answer
    x = 432,987.26

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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.