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Finding the Third Proportional to 184,404 and 277,903.50

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Solution

The third proportional to 184,404 and 277,903.50 is: 418,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,404 : 277,903.50 = 277,903.50 : x
  2. Step 2: Convert to fraction form
    184,404/277,903.50 = 277,903.50/x
  3. Step 3: Cross multiply
    184,404x = 277,903.50 × 277,903.50
  4. Step 4: Simplify right side
    184,404x = 77,230,355,312.25
  5. Step 5: Solve for x
    x = 77,230,355,312.25/184,404
  6. Step 6: Final answer
    x = 418,810.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.