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Finding the Third Proportional to 202,851 and 433,844

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Solution

The third proportional to 202,851 and 433,844 is: 927,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851 : 433,844 = 433,844 : x
  2. Step 2: Convert to fraction form
    202,851/433,844 = 433,844/x
  3. Step 3: Cross multiply
    202,851x = 433,844 × 433,844
  4. Step 4: Simplify right side
    202,851x = 188,220,616,336
  5. Step 5: Solve for x
    x = 188,220,616,336/202,851
  6. Step 6: Final answer
    x = 927,876.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.