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Finding the Third Proportional to 229,935 and 308,992.50

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Solution

The third proportional to 229,935 and 308,992.50 is: 415,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,935 : 308,992.50 = 308,992.50 : x
  2. Step 2: Convert to fraction form
    229,935/308,992.50 = 308,992.50/x
  3. Step 3: Cross multiply
    229,935x = 308,992.50 × 308,992.50
  4. Step 4: Simplify right side
    229,935x = 95,476,365,056.25
  5. Step 5: Solve for x
    x = 95,476,365,056.25/229,935
  6. Step 6: Final answer
    x = 415,231.98

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