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Finding the Third Proportional to 184,450.50 and 266,577.75

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Solution

The third proportional to 184,450.50 and 266,577.75 is: 385,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,450.50 : 266,577.75 = 266,577.75 : x
  2. Step 2: Convert to fraction form
    184,450.50/266,577.75 = 266,577.75/x
  3. Step 3: Cross multiply
    184,450.50x = 266,577.75 × 266,577.75
  4. Step 4: Simplify right side
    184,450.50x = 71,063,696,795.06
  5. Step 5: Solve for x
    x = 71,063,696,795.06/184,450.50
  6. Step 6: Final answer
    x = 385,272.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.