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Finding the Third Proportional to 202,311 and 314,333

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Solution

The third proportional to 202,311 and 314,333 is: 488,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311 : 314,333 = 314,333 : x
  2. Step 2: Convert to fraction form
    202,311/314,333 = 314,333/x
  3. Step 3: Cross multiply
    202,311x = 314,333 × 314,333
  4. Step 4: Simplify right side
    202,311x = 98,805,234,889
  5. Step 5: Solve for x
    x = 98,805,234,889/202,311
  6. Step 6: Final answer
    x = 488,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.