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Finding the Third Proportional to 201,905 and 294,094

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Solution

The third proportional to 201,905 and 294,094 is: 428,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 294,094 = 294,094 : x
  2. Step 2: Convert to fraction form
    201,905/294,094 = 294,094/x
  3. Step 3: Cross multiply
    201,905x = 294,094 × 294,094
  4. Step 4: Simplify right side
    201,905x = 86,491,280,836
  5. Step 5: Solve for x
    x = 86,491,280,836/201,905
  6. Step 6: Final answer
    x = 428,376.12

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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.