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Finding the Third Proportional to 163,869 and 235,195

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Solution

The third proportional to 163,869 and 235,195 is: 337,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,869 : 235,195 = 235,195 : x
  2. Step 2: Convert to fraction form
    163,869/235,195 = 235,195/x
  3. Step 3: Cross multiply
    163,869x = 235,195 × 235,195
  4. Step 4: Simplify right side
    163,869x = 55,316,688,025
  5. Step 5: Solve for x
    x = 55,316,688,025/163,869
  6. Step 6: Final answer
    x = 337,566.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.