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Finding the Third Proportional to 184,008 and 260,392.50

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Solution

The third proportional to 184,008 and 260,392.50 is: 368,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,008 : 260,392.50 = 260,392.50 : x
  2. Step 2: Convert to fraction form
    184,008/260,392.50 = 260,392.50/x
  3. Step 3: Cross multiply
    184,008x = 260,392.50 × 260,392.50
  4. Step 4: Simplify right side
    184,008x = 67,804,254,056.25
  5. Step 5: Solve for x
    x = 67,804,254,056.25/184,008
  6. Step 6: Final answer
    x = 368,485.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.