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Finding the Third Proportional to 229,082 and 336,753

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Solution

The third proportional to 229,082 and 336,753 is: 495,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,082 : 336,753 = 336,753 : x
  2. Step 2: Convert to fraction form
    229,082/336,753 = 336,753/x
  3. Step 3: Cross multiply
    229,082x = 336,753 × 336,753
  4. Step 4: Simplify right side
    229,082x = 113,402,583,009
  5. Step 5: Solve for x
    x = 113,402,583,009/229,082
  6. Step 6: Final answer
    x = 495,030.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.