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Finding the Third Proportional to 163,219 and 208,095

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Solution

The third proportional to 163,219 and 208,095 is: 265,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,219 : 208,095 = 208,095 : x
  2. Step 2: Convert to fraction form
    163,219/208,095 = 208,095/x
  3. Step 3: Cross multiply
    163,219x = 208,095 × 208,095
  4. Step 4: Simplify right side
    163,219x = 43,303,529,025
  5. Step 5: Solve for x
    x = 43,303,529,025/163,219
  6. Step 6: Final answer
    x = 265,309.36

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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.