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Finding the Third Proportional to 194,045.63 and 267,205.08

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Solution

The third proportional to 194,045.63 and 267,205.08 is: 367,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,045.63 : 267,205.08 = 267,205.08 : x
  2. Step 2: Convert to fraction form
    194,045.63/267,205.08 = 267,205.08/x
  3. Step 3: Cross multiply
    194,045.63x = 267,205.08 × 267,205.08
  4. Step 4: Simplify right side
    194,045.63x = 71,398,553,775.79
  5. Step 5: Solve for x
    x = 71,398,553,775.79/194,045.63
  6. Step 6: Final answer
    x = 367,947.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.