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Finding the Third Proportional to 199,111 and 433,214

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Solution

The third proportional to 199,111 and 433,214 is: 942,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,111 : 433,214 = 433,214 : x
  2. Step 2: Convert to fraction form
    199,111/433,214 = 433,214/x
  3. Step 3: Cross multiply
    199,111x = 433,214 × 433,214
  4. Step 4: Simplify right side
    199,111x = 187,674,369,796
  5. Step 5: Solve for x
    x = 187,674,369,796/199,111
  6. Step 6: Final answer
    x = 942,561.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.