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Finding the Third Proportional to 163,472 and 219,681

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Solution

The third proportional to 163,472 and 219,681 is: 295,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,472 : 219,681 = 219,681 : x
  2. Step 2: Convert to fraction form
    163,472/219,681 = 219,681/x
  3. Step 3: Cross multiply
    163,472x = 219,681 × 219,681
  4. Step 4: Simplify right side
    163,472x = 48,259,741,761
  5. Step 5: Solve for x
    x = 48,259,741,761/163,472
  6. Step 6: Final answer
    x = 295,217.17

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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.