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Finding the Third Proportional to 200,415.50 and 299,651

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Solution

The third proportional to 200,415.50 and 299,651 is: 448,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415.50 : 299,651 = 299,651 : x
  2. Step 2: Convert to fraction form
    200,415.50/299,651 = 299,651/x
  3. Step 3: Cross multiply
    200,415.50x = 299,651 × 299,651
  4. Step 4: Simplify right side
    200,415.50x = 89,790,721,801
  5. Step 5: Solve for x
    x = 89,790,721,801/200,415.50
  6. Step 6: Final answer
    x = 448,022.84

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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.