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Finding the Third Proportional to 175,424 and 369,187

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Solution

The third proportional to 175,424 and 369,187 is: 776,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,424 : 369,187 = 369,187 : x
  2. Step 2: Convert to fraction form
    175,424/369,187 = 369,187/x
  3. Step 3: Cross multiply
    175,424x = 369,187 × 369,187
  4. Step 4: Simplify right side
    175,424x = 136,299,040,969
  5. Step 5: Solve for x
    x = 136,299,040,969/175,424
  6. Step 6: Final answer
    x = 776,969.18

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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.