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Finding the Third Proportional to 201,906 and 302,859

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Solution

The third proportional to 201,906 and 302,859 is: 454,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906 : 302,859 = 302,859 : x
  2. Step 2: Convert to fraction form
    201,906/302,859 = 302,859/x
  3. Step 3: Cross multiply
    201,906x = 302,859 × 302,859
  4. Step 4: Simplify right side
    201,906x = 91,723,573,881
  5. Step 5: Solve for x
    x = 91,723,573,881/201,906
  6. Step 6: Final answer
    x = 454,288.50

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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.