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Finding the Third Proportional to 163,872 and 344,224

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Solution

The third proportional to 163,872 and 344,224 is: 723,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 344,224 = 344,224 : x
  2. Step 2: Convert to fraction form
    163,872/344,224 = 344,224/x
  3. Step 3: Cross multiply
    163,872x = 344,224 × 344,224
  4. Step 4: Simplify right side
    163,872x = 118,490,162,176
  5. Step 5: Solve for x
    x = 118,490,162,176/163,872
  6. Step 6: Final answer
    x = 723,065.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.