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Finding the Third Proportional to 184,532.63 and 403,530.75

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Solution

The third proportional to 184,532.63 and 403,530.75 is: 882,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,532.63 : 403,530.75 = 403,530.75 : x
  2. Step 2: Convert to fraction form
    184,532.63/403,530.75 = 403,530.75/x
  3. Step 3: Cross multiply
    184,532.63x = 403,530.75 × 403,530.75
  4. Step 4: Simplify right side
    184,532.63x = 162,837,066,195.56
  5. Step 5: Solve for x
    x = 162,837,066,195.56/184,532.63
  6. Step 6: Final answer
    x = 882,429.69

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