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Finding the Third Proportional to 202,888 and 437,008

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Solution

The third proportional to 202,888 and 437,008 is: 941,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,888 : 437,008 = 437,008 : x
  2. Step 2: Convert to fraction form
    202,888/437,008 = 437,008/x
  3. Step 3: Cross multiply
    202,888x = 437,008 × 437,008
  4. Step 4: Simplify right side
    202,888x = 190,975,992,064
  5. Step 5: Solve for x
    x = 190,975,992,064/202,888
  6. Step 6: Final answer
    x = 941,287.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.