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Finding the Third Proportional to 228,082 and 328,543

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Solution

The third proportional to 228,082 and 328,543 is: 473,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082 : 328,543 = 328,543 : x
  2. Step 2: Convert to fraction form
    228,082/328,543 = 328,543/x
  3. Step 3: Cross multiply
    228,082x = 328,543 × 328,543
  4. Step 4: Simplify right side
    228,082x = 107,940,502,849
  5. Step 5: Solve for x
    x = 107,940,502,849/228,082
  6. Step 6: Final answer
    x = 473,253.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.