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Finding the Third Proportional to 229,172 and 336,732

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Solution

The third proportional to 229,172 and 336,732 is: 494,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,172 : 336,732 = 336,732 : x
  2. Step 2: Convert to fraction form
    229,172/336,732 = 336,732/x
  3. Step 3: Cross multiply
    229,172x = 336,732 × 336,732
  4. Step 4: Simplify right side
    229,172x = 113,388,439,824
  5. Step 5: Solve for x
    x = 113,388,439,824/229,172
  6. Step 6: Final answer
    x = 494,774.40

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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.