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Finding the Third Proportional to 163,302 and 333,164.75

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Solution

The third proportional to 163,302 and 333,164.75 is: 679,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,302 : 333,164.75 = 333,164.75 : x
  2. Step 2: Convert to fraction form
    163,302/333,164.75 = 333,164.75/x
  3. Step 3: Cross multiply
    163,302x = 333,164.75 × 333,164.75
  4. Step 4: Simplify right side
    163,302x = 110,998,750,642.56
  5. Step 5: Solve for x
    x = 110,998,750,642.56/163,302
  6. Step 6: Final answer
    x = 679,714.58

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Why These Related Problems?

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