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Finding the Third Proportional to 229,932 and 308,988

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Solution

The third proportional to 229,932 and 308,988 is: 415,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,932 : 308,988 = 308,988 : x
  2. Step 2: Convert to fraction form
    229,932/308,988 = 308,988/x
  3. Step 3: Cross multiply
    229,932x = 308,988 × 308,988
  4. Step 4: Simplify right side
    229,932x = 95,473,584,144
  5. Step 5: Solve for x
    x = 95,473,584,144/229,932
  6. Step 6: Final answer
    x = 415,225.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.