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Finding the Third Proportional to 199,572 and 408,466.50

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Solution

The third proportional to 199,572 and 408,466.50 is: 836,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572 : 408,466.50 = 408,466.50 : x
  2. Step 2: Convert to fraction form
    199,572/408,466.50 = 408,466.50/x
  3. Step 3: Cross multiply
    199,572x = 408,466.50 × 408,466.50
  4. Step 4: Simplify right side
    199,572x = 166,844,881,622.25
  5. Step 5: Solve for x
    x = 166,844,881,622.25/199,572
  6. Step 6: Final answer
    x = 836,013.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.