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Finding the Third Proportional to 229,028.50 and 336,693.75

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Solution

The third proportional to 229,028.50 and 336,693.75 is: 494,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,028.50 : 336,693.75 = 336,693.75 : x
  2. Step 2: Convert to fraction form
    229,028.50/336,693.75 = 336,693.75/x
  3. Step 3: Cross multiply
    229,028.50x = 336,693.75 × 336,693.75
  4. Step 4: Simplify right side
    229,028.50x = 113,362,681,289.06
  5. Step 5: Solve for x
    x = 113,362,681,289.06/229,028.50
  6. Step 6: Final answer
    x = 494,971.94

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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.