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Finding the Third Proportional to 184,964.50 and 403,145

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Solution

The third proportional to 184,964.50 and 403,145 is: 878,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,964.50 : 403,145 = 403,145 : x
  2. Step 2: Convert to fraction form
    184,964.50/403,145 = 403,145/x
  3. Step 3: Cross multiply
    184,964.50x = 403,145 × 403,145
  4. Step 4: Simplify right side
    184,964.50x = 162,525,891,025
  5. Step 5: Solve for x
    x = 162,525,891,025/184,964.50
  6. Step 6: Final answer
    x = 878,686.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.