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Finding the Third Proportional to 122,824 and 260,412

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Solution

The third proportional to 122,824 and 260,412 is: 552,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,824 : 260,412 = 260,412 : x
  2. Step 2: Convert to fraction form
    122,824/260,412 = 260,412/x
  3. Step 3: Cross multiply
    122,824x = 260,412 × 260,412
  4. Step 4: Simplify right side
    122,824x = 67,814,409,744
  5. Step 5: Solve for x
    x = 67,814,409,744/122,824
  6. Step 6: Final answer
    x = 552,126.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.