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Finding the Third Proportional to 200,618 and 304,867

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Solution

The third proportional to 200,618 and 304,867 is: 463,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,618 : 304,867 = 304,867 : x
  2. Step 2: Convert to fraction form
    200,618/304,867 = 304,867/x
  3. Step 3: Cross multiply
    200,618x = 304,867 × 304,867
  4. Step 4: Simplify right side
    200,618x = 92,943,887,689
  5. Step 5: Solve for x
    x = 92,943,887,689/200,618
  6. Step 6: Final answer
    x = 463,287.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.