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Finding the Third Proportional to 122,244.19 and 259,205.06

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Solution

The third proportional to 122,244.19 and 259,205.06 is: 549,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,244.19 : 259,205.06 = 259,205.06 : x
  2. Step 2: Convert to fraction form
    122,244.19/259,205.06 = 259,205.06/x
  3. Step 3: Cross multiply
    122,244.19x = 259,205.06 × 259,205.06
  4. Step 4: Simplify right side
    122,244.19x = 67,187,264,425.63
  5. Step 5: Solve for x
    x = 67,187,264,425.63/122,244.19
  6. Step 6: Final answer
    x = 549,615.21

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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.