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Finding the Third Proportional to 184,612.50 and 435,557.25

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Solution

The third proportional to 184,612.50 and 435,557.25 is: 1,027,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,612.50 : 435,557.25 = 435,557.25 : x
  2. Step 2: Convert to fraction form
    184,612.50/435,557.25 = 435,557.25/x
  3. Step 3: Cross multiply
    184,612.50x = 435,557.25 × 435,557.25
  4. Step 4: Simplify right side
    184,612.50x = 189,710,118,027.56
  5. Step 5: Solve for x
    x = 189,710,118,027.56/184,612.50
  6. Step 6: Final answer
    x = 1,027,612.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.