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Finding the Third Proportional to 184,410 and 275,587.50

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Solution

The third proportional to 184,410 and 275,587.50 is: 411,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 275,587.50 = 275,587.50 : x
  2. Step 2: Convert to fraction form
    184,410/275,587.50 = 275,587.50/x
  3. Step 3: Cross multiply
    184,410x = 275,587.50 × 275,587.50
  4. Step 4: Simplify right side
    184,410x = 75,948,470,156.25
  5. Step 5: Solve for x
    x = 75,948,470,156.25/184,410
  6. Step 6: Final answer
    x = 411,845.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.