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Finding the Third Proportional to 122,324 and 255,706

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Solution

The third proportional to 122,324 and 255,706 is: 534,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,324 : 255,706 = 255,706 : x
  2. Step 2: Convert to fraction form
    122,324/255,706 = 255,706/x
  3. Step 3: Cross multiply
    122,324x = 255,706 × 255,706
  4. Step 4: Simplify right side
    122,324x = 65,385,558,436
  5. Step 5: Solve for x
    x = 65,385,558,436/122,324
  6. Step 6: Final answer
    x = 534,527.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.