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Finding the Third Proportional to 190,872 and 286,191

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Solution

The third proportional to 190,872 and 286,191 is: 429,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,872 : 286,191 = 286,191 : x
  2. Step 2: Convert to fraction form
    190,872/286,191 = 286,191/x
  3. Step 3: Cross multiply
    190,872x = 286,191 × 286,191
  4. Step 4: Simplify right side
    190,872x = 81,905,288,481
  5. Step 5: Solve for x
    x = 81,905,288,481/190,872
  6. Step 6: Final answer
    x = 429,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.