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Finding the Third Proportional to 199,211.50 and 431,609

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Solution

The third proportional to 199,211.50 and 431,609 is: 935,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,211.50 : 431,609 = 431,609 : x
  2. Step 2: Convert to fraction form
    199,211.50/431,609 = 431,609/x
  3. Step 3: Cross multiply
    199,211.50x = 431,609 × 431,609
  4. Step 4: Simplify right side
    199,211.50x = 186,286,328,881
  5. Step 5: Solve for x
    x = 186,286,328,881/199,211.50
  6. Step 6: Final answer
    x = 935,118.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.