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Finding the Third Proportional to 79,982.12 and 174,985.00

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Solution

The third proportional to 79,982.12 and 174,985.00 is: 382,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,982.12 : 174,985.00 = 174,985.00 : x
  2. Step 2: Convert to fraction form
    79,982.12/174,985.00 = 174,985.00/x
  3. Step 3: Cross multiply
    79,982.12x = 174,985.00 × 174,985.00
  4. Step 4: Simplify right side
    79,982.12x = 30,619,748,857.93
  5. Step 5: Solve for x
    x = 30,619,748,857.93/79,982.12
  6. Step 6: Final answer
    x = 382,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.