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Finding the Third Proportional to 121,173.19 and 258,840.56

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Solution

The third proportional to 121,173.19 and 258,840.56 is: 552,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,173.19 : 258,840.56 = 258,840.56 : x
  2. Step 2: Convert to fraction form
    121,173.19/258,840.56 = 258,840.56/x
  3. Step 3: Cross multiply
    121,173.19x = 258,840.56 × 258,840.56
  4. Step 4: Simplify right side
    121,173.19x = 66,998,436,795.32
  5. Step 5: Solve for x
    x = 66,998,436,795.32/121,173.19
  6. Step 6: Final answer
    x = 552,914.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.