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Finding the Third Proportional to 164,026.42 and 246,039.64

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Solution

The third proportional to 164,026.42 and 246,039.64 is: 369,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,026.42 : 246,039.64 = 246,039.64 : x
  2. Step 2: Convert to fraction form
    164,026.42/246,039.64 = 246,039.64/x
  3. Step 3: Cross multiply
    164,026.42x = 246,039.64 × 246,039.64
  4. Step 4: Simplify right side
    164,026.42x = 60,535,502,356.14
  5. Step 5: Solve for x
    x = 60,535,502,356.14/164,026.42
  6. Step 6: Final answer
    x = 369,059.45

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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.