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Finding the Third Proportional to 199,611 and 431,206.50

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Solution

The third proportional to 199,611 and 431,206.50 is: 931,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 431,206.50 = 431,206.50 : x
  2. Step 2: Convert to fraction form
    199,611/431,206.50 = 431,206.50/x
  3. Step 3: Cross multiply
    199,611x = 431,206.50 × 431,206.50
  4. Step 4: Simplify right side
    199,611x = 185,939,045,642.25
  5. Step 5: Solve for x
    x = 185,939,045,642.25/199,611
  6. Step 6: Final answer
    x = 931,507.01

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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.