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Finding the Third Proportional to 122,202 and 260,532

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Solution

The third proportional to 122,202 and 260,532 is: 555,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,202 : 260,532 = 260,532 : x
  2. Step 2: Convert to fraction form
    122,202/260,532 = 260,532/x
  3. Step 3: Cross multiply
    122,202x = 260,532 × 260,532
  4. Step 4: Simplify right side
    122,202x = 67,876,923,024
  5. Step 5: Solve for x
    x = 67,876,923,024/122,202
  6. Step 6: Final answer
    x = 555,448.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.