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Finding the Third Proportional to 122,328 and 259,357.50

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Solution

The third proportional to 122,328 and 259,357.50 is: 549,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,328 : 259,357.50 = 259,357.50 : x
  2. Step 2: Convert to fraction form
    122,328/259,357.50 = 259,357.50/x
  3. Step 3: Cross multiply
    122,328x = 259,357.50 × 259,357.50
  4. Step 4: Simplify right side
    122,328x = 67,266,312,806.25
  5. Step 5: Solve for x
    x = 67,266,312,806.25/122,328
  6. Step 6: Final answer
    x = 549,884.84

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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.