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Finding the Third Proportional to 201,735 and 303,473

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Solution

The third proportional to 201,735 and 303,473 is: 456,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,735 : 303,473 = 303,473 : x
  2. Step 2: Convert to fraction form
    201,735/303,473 = 303,473/x
  3. Step 3: Cross multiply
    201,735x = 303,473 × 303,473
  4. Step 4: Simplify right side
    201,735x = 92,095,861,729
  5. Step 5: Solve for x
    x = 92,095,861,729/201,735
  6. Step 6: Final answer
    x = 456,519.01

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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.