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Finding the Third Proportional to 163,974 and 245,964

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Solution

The third proportional to 163,974 and 245,964 is: 368,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,974 : 245,964 = 245,964 : x
  2. Step 2: Convert to fraction form
    163,974/245,964 = 245,964/x
  3. Step 3: Cross multiply
    163,974x = 245,964 × 245,964
  4. Step 4: Simplify right side
    163,974x = 60,498,289,296
  5. Step 5: Solve for x
    x = 60,498,289,296/163,974
  6. Step 6: Final answer
    x = 368,950.50

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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.