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Finding the Third Proportional to 147,679 and 221,653

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Solution

The third proportional to 147,679 and 221,653 is: 332,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,679 : 221,653 = 221,653 : x
  2. Step 2: Convert to fraction form
    147,679/221,653 = 221,653/x
  3. Step 3: Cross multiply
    147,679x = 221,653 × 221,653
  4. Step 4: Simplify right side
    147,679x = 49,130,052,409
  5. Step 5: Solve for x
    x = 49,130,052,409/147,679
  6. Step 6: Final answer
    x = 332,681.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.