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Finding the Third Proportional to 79,434.84 and 174,862.13

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Solution

The third proportional to 79,434.84 and 174,862.13 is: 384,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,434.84 : 174,862.13 = 174,862.13 : x
  2. Step 2: Convert to fraction form
    79,434.84/174,862.13 = 174,862.13/x
  3. Step 3: Cross multiply
    79,434.84x = 174,862.13 × 174,862.13
  4. Step 4: Simplify right side
    79,434.84x = 30,576,762,759.52
  5. Step 5: Solve for x
    x = 30,576,762,759.52/79,434.84
  6. Step 6: Final answer
    x = 384,928.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.