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Finding the Third Proportional to 199,595 and 431,175

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Solution

The third proportional to 199,595 and 431,175 is: 931,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,595 : 431,175 = 431,175 : x
  2. Step 2: Convert to fraction form
    199,595/431,175 = 431,175/x
  3. Step 3: Cross multiply
    199,595x = 431,175 × 431,175
  4. Step 4: Simplify right side
    199,595x = 185,911,880,625
  5. Step 5: Solve for x
    x = 185,911,880,625/199,595
  6. Step 6: Final answer
    x = 931,445.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.