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Finding the Third Proportional to 184,245.75 and 402,862.50

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Solution

The third proportional to 184,245.75 and 402,862.50 is: 880,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,245.75 : 402,862.50 = 402,862.50 : x
  2. Step 2: Convert to fraction form
    184,245.75/402,862.50 = 402,862.50/x
  3. Step 3: Cross multiply
    184,245.75x = 402,862.50 × 402,862.50
  4. Step 4: Simplify right side
    184,245.75x = 162,298,193,906.25
  5. Step 5: Solve for x
    x = 162,298,193,906.25/184,245.75
  6. Step 6: Final answer
    x = 880,878.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.