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Finding the Third Proportional to 201,886 and 294,065

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Solution

The third proportional to 201,886 and 294,065 is: 428,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886 : 294,065 = 294,065 : x
  2. Step 2: Convert to fraction form
    201,886/294,065 = 294,065/x
  3. Step 3: Cross multiply
    201,886x = 294,065 × 294,065
  4. Step 4: Simplify right side
    201,886x = 86,474,224,225
  5. Step 5: Solve for x
    x = 86,474,224,225/201,886
  6. Step 6: Final answer
    x = 428,331.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.