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Finding the Third Proportional to 142,819.50 and 333,779.25

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Solution

The third proportional to 142,819.50 and 333,779.25 is: 780,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,819.50 : 333,779.25 = 333,779.25 : x
  2. Step 2: Convert to fraction form
    142,819.50/333,779.25 = 333,779.25/x
  3. Step 3: Cross multiply
    142,819.50x = 333,779.25 × 333,779.25
  4. Step 4: Simplify right side
    142,819.50x = 111,408,587,730.56
  5. Step 5: Solve for x
    x = 111,408,587,730.56/142,819.50
  6. Step 6: Final answer
    x = 780,065.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.