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Finding the Third Proportional to 164,424 and 246,659

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Solution

The third proportional to 164,424 and 246,659 is: 370,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,424 : 246,659 = 246,659 : x
  2. Step 2: Convert to fraction form
    164,424/246,659 = 246,659/x
  3. Step 3: Cross multiply
    164,424x = 246,659 × 246,659
  4. Step 4: Simplify right side
    164,424x = 60,840,662,281
  5. Step 5: Solve for x
    x = 60,840,662,281/164,424
  6. Step 6: Final answer
    x = 370,023.00

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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.