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Finding the Third Proportional to 122,368.50 and 259,317

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Solution

The third proportional to 122,368.50 and 259,317 is: 549,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368.50 : 259,317 = 259,317 : x
  2. Step 2: Convert to fraction form
    122,368.50/259,317 = 259,317/x
  3. Step 3: Cross multiply
    122,368.50x = 259,317 × 259,317
  4. Step 4: Simplify right side
    122,368.50x = 67,245,306,489
  5. Step 5: Solve for x
    x = 67,245,306,489/122,368.50
  6. Step 6: Final answer
    x = 549,531.18

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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.