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Finding the Third Proportional to 153,078 and 335,694

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Solution

The third proportional to 153,078 and 335,694 is: 736,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,078 : 335,694 = 335,694 : x
  2. Step 2: Convert to fraction form
    153,078/335,694 = 335,694/x
  3. Step 3: Cross multiply
    153,078x = 335,694 × 335,694
  4. Step 4: Simplify right side
    153,078x = 112,690,461,636
  5. Step 5: Solve for x
    x = 112,690,461,636/153,078
  6. Step 6: Final answer
    x = 736,163.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.