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Finding the Third Proportional to 140,618 and 303,336

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Solution

The third proportional to 140,618 and 303,336 is: 654,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,618 : 303,336 = 303,336 : x
  2. Step 2: Convert to fraction form
    140,618/303,336 = 303,336/x
  3. Step 3: Cross multiply
    140,618x = 303,336 × 303,336
  4. Step 4: Simplify right side
    140,618x = 92,012,728,896
  5. Step 5: Solve for x
    x = 92,012,728,896/140,618
  6. Step 6: Final answer
    x = 654,345.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.