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Finding the Third Proportional to 228,082 and 335,130

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Solution

The third proportional to 228,082 and 335,130 is: 492,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082 : 335,130 = 335,130 : x
  2. Step 2: Convert to fraction form
    228,082/335,130 = 335,130/x
  3. Step 3: Cross multiply
    228,082x = 335,130 × 335,130
  4. Step 4: Simplify right side
    228,082x = 112,312,116,900
  5. Step 5: Solve for x
    x = 112,312,116,900/228,082
  6. Step 6: Final answer
    x = 492,419.91

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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.