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Finding the Third Proportional to 122,334.50 and 259,370

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Solution

The third proportional to 122,334.50 and 259,370 is: 549,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,334.50 : 259,370 = 259,370 : x
  2. Step 2: Convert to fraction form
    122,334.50/259,370 = 259,370/x
  3. Step 3: Cross multiply
    122,334.50x = 259,370 × 259,370
  4. Step 4: Simplify right side
    122,334.50x = 67,272,796,900
  5. Step 5: Solve for x
    x = 67,272,796,900/122,334.50
  6. Step 6: Final answer
    x = 549,908.63

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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.