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Finding the Third Proportional to 152,796 and 335,712

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Solution

The third proportional to 152,796 and 335,712 is: 737,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,796 : 335,712 = 335,712 : x
  2. Step 2: Convert to fraction form
    152,796/335,712 = 335,712/x
  3. Step 3: Cross multiply
    152,796x = 335,712 × 335,712
  4. Step 4: Simplify right side
    152,796x = 112,702,546,944
  5. Step 5: Solve for x
    x = 112,702,546,944/152,796
  6. Step 6: Final answer
    x = 737,601.42

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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.