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Finding the Third Proportional to 147,616.75 and 221,386.75

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Solution

The third proportional to 147,616.75 and 221,386.75 is: 332,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,616.75 : 221,386.75 = 221,386.75 : x
  2. Step 2: Convert to fraction form
    147,616.75/221,386.75 = 221,386.75/x
  3. Step 3: Cross multiply
    147,616.75x = 221,386.75 × 221,386.75
  4. Step 4: Simplify right side
    147,616.75x = 49,012,093,075.56
  5. Step 5: Solve for x
    x = 49,012,093,075.56/147,616.75
  6. Step 6: Final answer
    x = 332,022.57

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Why These Related Problems?

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