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Finding the Third Proportional to 163,484 and 219,696

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Solution

The third proportional to 163,484 and 219,696 is: 295,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,484 : 219,696 = 219,696 : x
  2. Step 2: Convert to fraction form
    163,484/219,696 = 219,696/x
  3. Step 3: Cross multiply
    163,484x = 219,696 × 219,696
  4. Step 4: Simplify right side
    163,484x = 48,266,332,416
  5. Step 5: Solve for x
    x = 48,266,332,416/163,484
  6. Step 6: Final answer
    x = 295,235.82

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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.