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Finding the Third Proportional to 163,894 and 224,298

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Solution

The third proportional to 163,894 and 224,298 is: 306,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,894 : 224,298 = 224,298 : x
  2. Step 2: Convert to fraction form
    163,894/224,298 = 224,298/x
  3. Step 3: Cross multiply
    163,894x = 224,298 × 224,298
  4. Step 4: Simplify right side
    163,894x = 50,309,592,804
  5. Step 5: Solve for x
    x = 50,309,592,804/163,894
  6. Step 6: Final answer
    x = 306,964.21

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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.