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Finding the Third Proportional to 162,904 and 353,648

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Solution

The third proportional to 162,904 and 353,648 is: 767,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904 : 353,648 = 353,648 : x
  2. Step 2: Convert to fraction form
    162,904/353,648 = 353,648/x
  3. Step 3: Cross multiply
    162,904x = 353,648 × 353,648
  4. Step 4: Simplify right side
    162,904x = 125,066,907,904
  5. Step 5: Solve for x
    x = 125,066,907,904/162,904
  6. Step 6: Final answer
    x = 767,733.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.