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Finding the Third Proportional to 200,890.13 and 303,927.19

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Solution

The third proportional to 200,890.13 and 303,927.19 is: 459,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.13 : 303,927.19 = 303,927.19 : x
  2. Step 2: Convert to fraction form
    200,890.13/303,927.19 = 303,927.19/x
  3. Step 3: Cross multiply
    200,890.13x = 303,927.19 × 303,927.19
  4. Step 4: Simplify right side
    200,890.13x = 92,371,735,301.66
  5. Step 5: Solve for x
    x = 92,371,735,301.66/200,890.13
  6. Step 6: Final answer
    x = 459,812.22

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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.