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Finding the Third Proportional to 200,334 and 299,865

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Solution

The third proportional to 200,334 and 299,865 is: 448,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,334 : 299,865 = 299,865 : x
  2. Step 2: Convert to fraction form
    200,334/299,865 = 299,865/x
  3. Step 3: Cross multiply
    200,334x = 299,865 × 299,865
  4. Step 4: Simplify right side
    200,334x = 89,919,018,225
  5. Step 5: Solve for x
    x = 89,919,018,225/200,334
  6. Step 6: Final answer
    x = 448,845.52

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Why These Related Problems?

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