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Finding the Third Proportional to 163,870 and 235,197

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Solution

The third proportional to 163,870 and 235,197 is: 337,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,870 : 235,197 = 235,197 : x
  2. Step 2: Convert to fraction form
    163,870/235,197 = 235,197/x
  3. Step 3: Cross multiply
    163,870x = 235,197 × 235,197
  4. Step 4: Simplify right side
    163,870x = 55,317,628,809
  5. Step 5: Solve for x
    x = 55,317,628,809/163,870
  6. Step 6: Final answer
    x = 337,570.20

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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.