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Finding the Third Proportional to 184,938.19 and 275,698.69

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Solution

The third proportional to 184,938.19 and 275,698.69 is: 411,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,938.19 : 275,698.69 = 275,698.69 : x
  2. Step 2: Convert to fraction form
    184,938.19/275,698.69 = 275,698.69/x
  3. Step 3: Cross multiply
    184,938.19x = 275,698.69 × 275,698.69
  4. Step 4: Simplify right side
    184,938.19x = 76,009,766,289.22
  5. Step 5: Solve for x
    x = 76,009,766,289.22/184,938.19
  6. Step 6: Final answer
    x = 411,000.93

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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.