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Finding the Third Proportional to 173,410.50 and 258,940.50

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Solution

The third proportional to 173,410.50 and 258,940.50 is: 386,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,410.50 : 258,940.50 = 258,940.50 : x
  2. Step 2: Convert to fraction form
    173,410.50/258,940.50 = 258,940.50/x
  3. Step 3: Cross multiply
    173,410.50x = 258,940.50 × 258,940.50
  4. Step 4: Simplify right side
    173,410.50x = 67,050,182,540.25
  5. Step 5: Solve for x
    x = 67,050,182,540.25/173,410.50
  6. Step 6: Final answer
    x = 386,655.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.