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Finding the Third Proportional to 184,477.50 and 282,069.75

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Solution

The third proportional to 184,477.50 and 282,069.75 is: 431,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,477.50 : 282,069.75 = 282,069.75 : x
  2. Step 2: Convert to fraction form
    184,477.50/282,069.75 = 282,069.75/x
  3. Step 3: Cross multiply
    184,477.50x = 282,069.75 × 282,069.75
  4. Step 4: Simplify right side
    184,477.50x = 79,563,343,865.06
  5. Step 5: Solve for x
    x = 79,563,343,865.06/184,477.50
  6. Step 6: Final answer
    x = 431,290.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.