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Finding the Third Proportional to 122,706 and 262,894

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Solution

The third proportional to 122,706 and 262,894 is: 563,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706 : 262,894 = 262,894 : x
  2. Step 2: Convert to fraction form
    122,706/262,894 = 262,894/x
  3. Step 3: Cross multiply
    122,706x = 262,894 × 262,894
  4. Step 4: Simplify right side
    122,706x = 69,113,255,236
  5. Step 5: Solve for x
    x = 69,113,255,236/122,706
  6. Step 6: Final answer
    x = 563,242.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.