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Finding the Third Proportional to 164,673 and 336,514.50

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Solution

The third proportional to 164,673 and 336,514.50 is: 687,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,673 : 336,514.50 = 336,514.50 : x
  2. Step 2: Convert to fraction form
    164,673/336,514.50 = 336,514.50/x
  3. Step 3: Cross multiply
    164,673x = 336,514.50 × 336,514.50
  4. Step 4: Simplify right side
    164,673x = 113,242,008,710.25
  5. Step 5: Solve for x
    x = 113,242,008,710.25/164,673
  6. Step 6: Final answer
    x = 687,678.06

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.