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Finding the Third Proportional to 199,080 and 437,526

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Solution

The third proportional to 199,080 and 437,526 is: 961,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,080 : 437,526 = 437,526 : x
  2. Step 2: Convert to fraction form
    199,080/437,526 = 437,526/x
  3. Step 3: Cross multiply
    199,080x = 437,526 × 437,526
  4. Step 4: Simplify right side
    199,080x = 191,429,000,676
  5. Step 5: Solve for x
    x = 191,429,000,676/199,080
  6. Step 6: Final answer
    x = 961,568.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.