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Finding the Third Proportional to 184,196 and 275,155.50

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Solution

The third proportional to 184,196 and 275,155.50 is: 411,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196 : 275,155.50 = 275,155.50 : x
  2. Step 2: Convert to fraction form
    184,196/275,155.50 = 275,155.50/x
  3. Step 3: Cross multiply
    184,196x = 275,155.50 × 275,155.50
  4. Step 4: Simplify right side
    184,196x = 75,710,549,180.25
  5. Step 5: Solve for x
    x = 75,710,549,180.25/184,196
  6. Step 6: Final answer
    x = 411,032.54

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Why These Related Problems?

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