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Finding the Third Proportional to 163,220 and 208,094

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Solution

The third proportional to 163,220 and 208,094 is: 265,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,220 : 208,094 = 208,094 : x
  2. Step 2: Convert to fraction form
    163,220/208,094 = 208,094/x
  3. Step 3: Cross multiply
    163,220x = 208,094 × 208,094
  4. Step 4: Simplify right side
    163,220x = 43,303,112,836
  5. Step 5: Solve for x
    x = 43,303,112,836/163,220
  6. Step 6: Final answer
    x = 265,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.