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Finding the Third Proportional to 179,762.63 and 384,774.75

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Solution

The third proportional to 179,762.63 and 384,774.75 is: 823,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,762.63 : 384,774.75 = 384,774.75 : x
  2. Step 2: Convert to fraction form
    179,762.63/384,774.75 = 384,774.75/x
  3. Step 3: Cross multiply
    179,762.63x = 384,774.75 × 384,774.75
  4. Step 4: Simplify right side
    179,762.63x = 148,051,608,237.56
  5. Step 5: Solve for x
    x = 148,051,608,237.56/179,762.63
  6. Step 6: Final answer
    x = 823,595.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.