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Finding the Third Proportional to 200,364 and 299,922

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Solution

The third proportional to 200,364 and 299,922 is: 448,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,364 : 299,922 = 299,922 : x
  2. Step 2: Convert to fraction form
    200,364/299,922 = 299,922/x
  3. Step 3: Cross multiply
    200,364x = 299,922 × 299,922
  4. Step 4: Simplify right side
    200,364x = 89,953,206,084
  5. Step 5: Solve for x
    x = 89,953,206,084/200,364
  6. Step 6: Final answer
    x = 448,948.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.