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Finding the Third Proportional to 163,488 and 219,702

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Solution

The third proportional to 163,488 and 219,702 is: 295,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,488 : 219,702 = 219,702 : x
  2. Step 2: Convert to fraction form
    163,488/219,702 = 219,702/x
  3. Step 3: Cross multiply
    163,488x = 219,702 × 219,702
  4. Step 4: Simplify right side
    163,488x = 48,268,968,804
  5. Step 5: Solve for x
    x = 48,268,968,804/163,488
  6. Step 6: Final answer
    x = 295,244.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.