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Finding the Third Proportional to 164,082 and 357,812

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Solution

The third proportional to 164,082 and 357,812 is: 780,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082 : 357,812 = 357,812 : x
  2. Step 2: Convert to fraction form
    164,082/357,812 = 357,812/x
  3. Step 3: Cross multiply
    164,082x = 357,812 × 357,812
  4. Step 4: Simplify right side
    164,082x = 128,029,427,344
  5. Step 5: Solve for x
    x = 128,029,427,344/164,082
  6. Step 6: Final answer
    x = 780,277.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.