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Finding the Third Proportional to 184,596.47 and 403,357.22

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Solution

The third proportional to 184,596.47 and 403,357.22 is: 881,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,596.47 : 403,357.22 = 403,357.22 : x
  2. Step 2: Convert to fraction form
    184,596.47/403,357.22 = 403,357.22/x
  3. Step 3: Cross multiply
    184,596.47x = 403,357.22 × 403,357.22
  4. Step 4: Simplify right side
    184,596.47x = 162,697,045,917.74
  5. Step 5: Solve for x
    x = 162,697,045,917.74/184,596.47
  6. Step 6: Final answer
    x = 881,365.97

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Why These Related Problems?

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