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Finding the Third Proportional to 144,408 and 223,168

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Solution

The third proportional to 144,408 and 223,168 is: 344,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,408 : 223,168 = 223,168 : x
  2. Step 2: Convert to fraction form
    144,408/223,168 = 223,168/x
  3. Step 3: Cross multiply
    144,408x = 223,168 × 223,168
  4. Step 4: Simplify right side
    144,408x = 49,803,956,224
  5. Step 5: Solve for x
    x = 49,803,956,224/144,408
  6. Step 6: Final answer
    x = 344,883.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.