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Finding the Third Proportional to 122,433 and 259,572

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Solution

The third proportional to 122,433 and 259,572 is: 550,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,433 : 259,572 = 259,572 : x
  2. Step 2: Convert to fraction form
    122,433/259,572 = 259,572/x
  3. Step 3: Cross multiply
    122,433x = 259,572 × 259,572
  4. Step 4: Simplify right side
    122,433x = 67,377,623,184
  5. Step 5: Solve for x
    x = 67,377,623,184/122,433
  6. Step 6: Final answer
    x = 550,322.41

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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.