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Finding the Third Proportional to 229,968 and 349,104

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Solution

The third proportional to 229,968 and 349,104 is: 529,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968 : 349,104 = 349,104 : x
  2. Step 2: Convert to fraction form
    229,968/349,104 = 349,104/x
  3. Step 3: Cross multiply
    229,968x = 349,104 × 349,104
  4. Step 4: Simplify right side
    229,968x = 121,873,602,816
  5. Step 5: Solve for x
    x = 121,873,602,816/229,968
  6. Step 6: Final answer
    x = 529,958.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.