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Finding the Third Proportional to 164,484 and 246,078

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Solution

The third proportional to 164,484 and 246,078 is: 368,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 246,078 = 246,078 : x
  2. Step 2: Convert to fraction form
    164,484/246,078 = 246,078/x
  3. Step 3: Cross multiply
    164,484x = 246,078 × 246,078
  4. Step 4: Simplify right side
    164,484x = 60,554,382,084
  5. Step 5: Solve for x
    x = 60,554,382,084/164,484
  6. Step 6: Final answer
    x = 368,147.55

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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.