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Finding the Third Proportional to 122,726 and 264,818

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Solution

The third proportional to 122,726 and 264,818 is: 571,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726 : 264,818 = 264,818 : x
  2. Step 2: Convert to fraction form
    122,726/264,818 = 264,818/x
  3. Step 3: Cross multiply
    122,726x = 264,818 × 264,818
  4. Step 4: Simplify right side
    122,726x = 70,128,573,124
  5. Step 5: Solve for x
    x = 70,128,573,124/122,726
  6. Step 6: Final answer
    x = 571,423.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.