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Finding the Third Proportional to 174,983 and 367,588

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Solution

The third proportional to 174,983 and 367,588 is: 772,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 367,588 = 367,588 : x
  2. Step 2: Convert to fraction form
    174,983/367,588 = 367,588/x
  3. Step 3: Cross multiply
    174,983x = 367,588 × 367,588
  4. Step 4: Simplify right side
    174,983x = 135,120,937,744
  5. Step 5: Solve for x
    x = 135,120,937,744/174,983
  6. Step 6: Final answer
    x = 772,194.66

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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.