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Finding the Third Proportional to 184,974 and 235,612.50

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Solution

The third proportional to 184,974 and 235,612.50 is: 300,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,974 : 235,612.50 = 235,612.50 : x
  2. Step 2: Convert to fraction form
    184,974/235,612.50 = 235,612.50/x
  3. Step 3: Cross multiply
    184,974x = 235,612.50 × 235,612.50
  4. Step 4: Simplify right side
    184,974x = 55,513,250,156.25
  5. Step 5: Solve for x
    x = 55,513,250,156.25/184,974
  6. Step 6: Final answer
    x = 300,113.80

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.