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Finding the Third Proportional to 164,410.50 and 246,638.63

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Solution

The third proportional to 164,410.50 and 246,638.63 is: 369,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,410.50 : 246,638.63 = 246,638.63 : x
  2. Step 2: Convert to fraction form
    164,410.50/246,638.63 = 246,638.63/x
  3. Step 3: Cross multiply
    164,410.50x = 246,638.63 × 246,638.63
  4. Step 4: Simplify right side
    164,410.50x = 60,830,611,341.89
  5. Step 5: Solve for x
    x = 60,830,611,341.89/164,410.50
  6. Step 6: Final answer
    x = 369,992.25

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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.