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Finding the Third Proportional to 199,476 and 437,102

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Solution

The third proportional to 199,476 and 437,102 is: 957,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,476 : 437,102 = 437,102 : x
  2. Step 2: Convert to fraction form
    199,476/437,102 = 437,102/x
  3. Step 3: Cross multiply
    199,476x = 437,102 × 437,102
  4. Step 4: Simplify right side
    199,476x = 191,058,158,404
  5. Step 5: Solve for x
    x = 191,058,158,404/199,476
  6. Step 6: Final answer
    x = 957,800.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.