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Finding the Third Proportional to 200,276 and 299,788

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Solution

The third proportional to 200,276 and 299,788 is: 448,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,276 : 299,788 = 299,788 : x
  2. Step 2: Convert to fraction form
    200,276/299,788 = 299,788/x
  3. Step 3: Cross multiply
    200,276x = 299,788 × 299,788
  4. Step 4: Simplify right side
    200,276x = 89,872,844,944
  5. Step 5: Solve for x
    x = 89,872,844,944/200,276
  6. Step 6: Final answer
    x = 448,744.96

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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.