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Finding the Third Proportional to 122,332.50 and 259,366

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Solution

The third proportional to 122,332.50 and 259,366 is: 549,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,332.50 : 259,366 = 259,366 : x
  2. Step 2: Convert to fraction form
    122,332.50/259,366 = 259,366/x
  3. Step 3: Cross multiply
    122,332.50x = 259,366 × 259,366
  4. Step 4: Simplify right side
    122,332.50x = 67,270,721,956
  5. Step 5: Solve for x
    x = 67,270,721,956/122,332.50
  6. Step 6: Final answer
    x = 549,900.66

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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.