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Finding the Third Proportional to 163,868 and 247,306

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Solution

The third proportional to 163,868 and 247,306 is: 373,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,868 : 247,306 = 247,306 : x
  2. Step 2: Convert to fraction form
    163,868/247,306 = 247,306/x
  3. Step 3: Cross multiply
    163,868x = 247,306 × 247,306
  4. Step 4: Simplify right side
    163,868x = 61,160,257,636
  5. Step 5: Solve for x
    x = 61,160,257,636/163,868
  6. Step 6: Final answer
    x = 373,228.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.