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Finding the Third Proportional to 229,788 and 336,954

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Solution

The third proportional to 229,788 and 336,954 is: 494,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,788 : 336,954 = 336,954 : x
  2. Step 2: Convert to fraction form
    229,788/336,954 = 336,954/x
  3. Step 3: Cross multiply
    229,788x = 336,954 × 336,954
  4. Step 4: Simplify right side
    229,788x = 113,537,998,116
  5. Step 5: Solve for x
    x = 113,537,998,116/229,788
  6. Step 6: Final answer
    x = 494,098.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.