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Finding the Third Proportional to 174,940 and 367,505

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Solution

The third proportional to 174,940 and 367,505 is: 772,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940 : 367,505 = 367,505 : x
  2. Step 2: Convert to fraction form
    174,940/367,505 = 367,505/x
  3. Step 3: Cross multiply
    174,940x = 367,505 × 367,505
  4. Step 4: Simplify right side
    174,940x = 135,059,925,025
  5. Step 5: Solve for x
    x = 135,059,925,025/174,940
  6. Step 6: Final answer
    x = 772,035.70

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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.