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Finding the Third Proportional to 199,615.50 and 432,451.50

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Solution

The third proportional to 199,615.50 and 432,451.50 is: 936,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.50 : 432,451.50 = 432,451.50 : x
  2. Step 2: Convert to fraction form
    199,615.50/432,451.50 = 432,451.50/x
  3. Step 3: Cross multiply
    199,615.50x = 432,451.50 × 432,451.50
  4. Step 4: Simplify right side
    199,615.50x = 187,014,299,852.25
  5. Step 5: Solve for x
    x = 187,014,299,852.25/199,615.50
  6. Step 6: Final answer
    x = 936,872.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.