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Finding the Third Proportional to 174,985.31 and 367,593.19

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Solution

The third proportional to 174,985.31 and 367,593.19 is: 772,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985.31 : 367,593.19 = 367,593.19 : x
  2. Step 2: Convert to fraction form
    174,985.31/367,593.19 = 367,593.19/x
  3. Step 3: Cross multiply
    174,985.31x = 367,593.19 × 367,593.19
  4. Step 4: Simplify right side
    174,985.31x = 135,124,751,496.41
  5. Step 5: Solve for x
    x = 135,124,751,496.41/174,985.31
  6. Step 6: Final answer
    x = 772,206.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.