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Finding the Third Proportional to 163,546 and 246,130

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Solution

The third proportional to 163,546 and 246,130 is: 370,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,546 : 246,130 = 246,130 : x
  2. Step 2: Convert to fraction form
    163,546/246,130 = 246,130/x
  3. Step 3: Cross multiply
    163,546x = 246,130 × 246,130
  4. Step 4: Simplify right side
    163,546x = 60,579,976,900
  5. Step 5: Solve for x
    x = 60,579,976,900/163,546
  6. Step 6: Final answer
    x = 370,415.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.