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Finding the Third Proportional to 200,873 and 303,363

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Solution

The third proportional to 200,873 and 303,363 is: 458,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873 : 303,363 = 303,363 : x
  2. Step 2: Convert to fraction form
    200,873/303,363 = 303,363/x
  3. Step 3: Cross multiply
    200,873x = 303,363 × 303,363
  4. Step 4: Simplify right side
    200,873x = 92,029,109,769
  5. Step 5: Solve for x
    x = 92,029,109,769/200,873
  6. Step 6: Final answer
    x = 458,145.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.