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Finding the Third Proportional to 78,284.63 and 174,498.38

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Solution

The third proportional to 78,284.63 and 174,498.38 is: 388,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.63 : 174,498.38 = 174,498.38 : x
  2. Step 2: Convert to fraction form
    78,284.63/174,498.38 = 174,498.38/x
  3. Step 3: Cross multiply
    78,284.63x = 174,498.38 × 174,498.38
  4. Step 4: Simplify right side
    78,284.63x = 30,449,682,877.64
  5. Step 5: Solve for x
    x = 30,449,682,877.64/78,284.63
  6. Step 6: Final answer
    x = 388,961.22

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.