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Finding the Third Proportional to 281,133.50 and 612,183.50

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Solution

The third proportional to 281,133.50 and 612,183.50 is: 1,333,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,133.50 : 612,183.50 = 612,183.50 : x
  2. Step 2: Convert to fraction form
    281,133.50/612,183.50 = 612,183.50/x
  3. Step 3: Cross multiply
    281,133.50x = 612,183.50 × 612,183.50
  4. Step 4: Simplify right side
    281,133.50x = 374,768,637,672.25
  5. Step 5: Solve for x
    x = 374,768,637,672.25/281,133.50
  6. Step 6: Final answer
    x = 1,333,062.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.