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Finding the Third Proportional to 163,014 and 245,601

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Solution

The third proportional to 163,014 and 245,601 is: 370,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,014 : 245,601 = 245,601 : x
  2. Step 2: Convert to fraction form
    163,014/245,601 = 245,601/x
  3. Step 3: Cross multiply
    163,014x = 245,601 × 245,601
  4. Step 4: Simplify right side
    163,014x = 60,319,851,201
  5. Step 5: Solve for x
    x = 60,319,851,201/163,014
  6. Step 6: Final answer
    x = 370,028.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.