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Finding the Third Proportional to 128,356 and 281,512

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Solution

The third proportional to 128,356 and 281,512 is: 617,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,356 : 281,512 = 281,512 : x
  2. Step 2: Convert to fraction form
    128,356/281,512 = 281,512/x
  3. Step 3: Cross multiply
    128,356x = 281,512 × 281,512
  4. Step 4: Simplify right side
    128,356x = 79,249,006,144
  5. Step 5: Solve for x
    x = 79,249,006,144/128,356
  6. Step 6: Final answer
    x = 617,415.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.