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Finding the Third Proportional to 184,973 and 276,952.50

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Solution

The third proportional to 184,973 and 276,952.50 is: 414,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,973 : 276,952.50 = 276,952.50 : x
  2. Step 2: Convert to fraction form
    184,973/276,952.50 = 276,952.50/x
  3. Step 3: Cross multiply
    184,973x = 276,952.50 × 276,952.50
  4. Step 4: Simplify right side
    184,973x = 76,702,687,256.25
  5. Step 5: Solve for x
    x = 76,702,687,256.25/184,973
  6. Step 6: Final answer
    x = 414,669.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.