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Finding the Third Proportional to 204,486 and 339,618

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Solution

The third proportional to 204,486 and 339,618 is: 564,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,486 : 339,618 = 339,618 : x
  2. Step 2: Convert to fraction form
    204,486/339,618 = 339,618/x
  3. Step 3: Cross multiply
    204,486x = 339,618 × 339,618
  4. Step 4: Simplify right side
    204,486x = 115,340,385,924
  5. Step 5: Solve for x
    x = 115,340,385,924/204,486
  6. Step 6: Final answer
    x = 564,050.28

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.