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Finding the Third Proportional to 152,741 and 335,368

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Solution

The third proportional to 152,741 and 335,368 is: 736,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,741 : 335,368 = 335,368 : x
  2. Step 2: Convert to fraction form
    152,741/335,368 = 335,368/x
  3. Step 3: Cross multiply
    152,741x = 335,368 × 335,368
  4. Step 4: Simplify right side
    152,741x = 112,471,695,424
  5. Step 5: Solve for x
    x = 112,471,695,424/152,741
  6. Step 6: Final answer
    x = 736,355.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.