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Finding the Third Proportional to 229,938 and 335,979

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Solution

The third proportional to 229,938 and 335,979 is: 490,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,938 : 335,979 = 335,979 : x
  2. Step 2: Convert to fraction form
    229,938/335,979 = 335,979/x
  3. Step 3: Cross multiply
    229,938x = 335,979 × 335,979
  4. Step 4: Simplify right side
    229,938x = 112,881,888,441
  5. Step 5: Solve for x
    x = 112,881,888,441/229,938
  6. Step 6: Final answer
    x = 490,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.