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Finding the Third Proportional to 190,633.50 and 406,599.75

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Solution

The third proportional to 190,633.50 and 406,599.75 is: 867,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633.50 : 406,599.75 = 406,599.75 : x
  2. Step 2: Convert to fraction form
    190,633.50/406,599.75 = 406,599.75/x
  3. Step 3: Cross multiply
    190,633.50x = 406,599.75 × 406,599.75
  4. Step 4: Simplify right side
    190,633.50x = 165,323,356,700.06
  5. Step 5: Solve for x
    x = 165,323,356,700.06/190,633.50
  6. Step 6: Final answer
    x = 867,231.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.