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Finding the Third Proportional to 200,729 and 302,795

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Solution

The third proportional to 200,729 and 302,795 is: 456,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729 : 302,795 = 302,795 : x
  2. Step 2: Convert to fraction form
    200,729/302,795 = 302,795/x
  3. Step 3: Cross multiply
    200,729x = 302,795 × 302,795
  4. Step 4: Simplify right side
    200,729x = 91,684,812,025
  5. Step 5: Solve for x
    x = 91,684,812,025/200,729
  6. Step 6: Final answer
    x = 456,759.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.