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Finding the Third Proportional to 140,178 and 303,684

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Solution

The third proportional to 140,178 and 303,684 is: 657,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,178 : 303,684 = 303,684 : x
  2. Step 2: Convert to fraction form
    140,178/303,684 = 303,684/x
  3. Step 3: Cross multiply
    140,178x = 303,684 × 303,684
  4. Step 4: Simplify right side
    140,178x = 92,223,971,856
  5. Step 5: Solve for x
    x = 92,223,971,856/140,178
  6. Step 6: Final answer
    x = 657,906.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.