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Finding the Third Proportional to 164,768 and 246,584

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Solution

The third proportional to 164,768 and 246,584 is: 369,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,768 : 246,584 = 246,584 : x
  2. Step 2: Convert to fraction form
    164,768/246,584 = 246,584/x
  3. Step 3: Cross multiply
    164,768x = 246,584 × 246,584
  4. Step 4: Simplify right side
    164,768x = 60,803,669,056
  5. Step 5: Solve for x
    x = 60,803,669,056/164,768
  6. Step 6: Final answer
    x = 369,025.96

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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.