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Finding the Third Proportional to 152,950 and 335,447

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Solution

The third proportional to 152,950 and 335,447 is: 735,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,950 : 335,447 = 335,447 : x
  2. Step 2: Convert to fraction form
    152,950/335,447 = 335,447/x
  3. Step 3: Cross multiply
    152,950x = 335,447 × 335,447
  4. Step 4: Simplify right side
    152,950x = 112,524,689,809
  5. Step 5: Solve for x
    x = 112,524,689,809/152,950
  6. Step 6: Final answer
    x = 735,695.91

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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.