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Finding the Third Proportional to 163,168 and 219,584

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Solution

The third proportional to 163,168 and 219,584 is: 295,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,168 : 219,584 = 219,584 : x
  2. Step 2: Convert to fraction form
    163,168/219,584 = 219,584/x
  3. Step 3: Cross multiply
    163,168x = 219,584 × 219,584
  4. Step 4: Simplify right side
    163,168x = 48,217,133,056
  5. Step 5: Solve for x
    x = 48,217,133,056/163,168
  6. Step 6: Final answer
    x = 295,506.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.