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Finding the Third Proportional to 199,513.13 and 299,467.13

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Solution

The third proportional to 199,513.13 and 299,467.13 is: 449,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,513.13 : 299,467.13 = 299,467.13 : x
  2. Step 2: Convert to fraction form
    199,513.13/299,467.13 = 299,467.13/x
  3. Step 3: Cross multiply
    199,513.13x = 299,467.13 × 299,467.13
  4. Step 4: Simplify right side
    199,513.13x = 89,680,558,955.77
  5. Step 5: Solve for x
    x = 89,680,558,955.77/199,513.13
  6. Step 6: Final answer
    x = 449,497.04

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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.