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Finding the Third Proportional to 163,865 and 224,262

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Solution

The third proportional to 163,865 and 224,262 is: 306,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,865 : 224,262 = 224,262 : x
  2. Step 2: Convert to fraction form
    163,865/224,262 = 224,262/x
  3. Step 3: Cross multiply
    163,865x = 224,262 × 224,262
  4. Step 4: Simplify right side
    163,865x = 50,293,444,644
  5. Step 5: Solve for x
    x = 50,293,444,644/163,865
  6. Step 6: Final answer
    x = 306,919.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.