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Finding the Third Proportional to 208,050 and 448,160

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Solution

The third proportional to 208,050 and 448,160 is: 965,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,050 : 448,160 = 448,160 : x
  2. Step 2: Convert to fraction form
    208,050/448,160 = 448,160/x
  3. Step 3: Cross multiply
    208,050x = 448,160 × 448,160
  4. Step 4: Simplify right side
    208,050x = 200,847,385,600
  5. Step 5: Solve for x
    x = 200,847,385,600/208,050
  6. Step 6: Final answer
    x = 965,380.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.