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Finding the Third Proportional to 201,734 and 303,472

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Solution

The third proportional to 201,734 and 303,472 is: 456,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734 : 303,472 = 303,472 : x
  2. Step 2: Convert to fraction form
    201,734/303,472 = 303,472/x
  3. Step 3: Cross multiply
    201,734x = 303,472 × 303,472
  4. Step 4: Simplify right side
    201,734x = 92,095,254,784
  5. Step 5: Solve for x
    x = 92,095,254,784/201,734
  6. Step 6: Final answer
    x = 456,518.26

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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.