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Finding the Third Proportional to 184,623.50 and 434,674.25

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Solution

The third proportional to 184,623.50 and 434,674.25 is: 1,023,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,623.50 : 434,674.25 = 434,674.25 : x
  2. Step 2: Convert to fraction form
    184,623.50/434,674.25 = 434,674.25/x
  3. Step 3: Cross multiply
    184,623.50x = 434,674.25 × 434,674.25
  4. Step 4: Simplify right side
    184,623.50x = 188,941,703,613.06
  5. Step 5: Solve for x
    x = 188,941,703,613.06/184,623.50
  6. Step 6: Final answer
    x = 1,023,389.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.