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Finding the Third Proportional to 193,082 and 286,614

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Solution

The third proportional to 193,082 and 286,614 is: 425,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082 : 286,614 = 286,614 : x
  2. Step 2: Convert to fraction form
    193,082/286,614 = 286,614/x
  3. Step 3: Cross multiply
    193,082x = 286,614 × 286,614
  4. Step 4: Simplify right side
    193,082x = 82,147,584,996
  5. Step 5: Solve for x
    x = 82,147,584,996/193,082
  6. Step 6: Final answer
    x = 425,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.