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Finding the Third Proportional to 164,082 and 234,633

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Solution

The third proportional to 164,082 and 234,633 is: 335,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082 : 234,633 = 234,633 : x
  2. Step 2: Convert to fraction form
    164,082/234,633 = 234,633/x
  3. Step 3: Cross multiply
    164,082x = 234,633 × 234,633
  4. Step 4: Simplify right side
    164,082x = 55,052,644,689
  5. Step 5: Solve for x
    x = 55,052,644,689/164,082
  6. Step 6: Final answer
    x = 335,519.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.