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Finding the Third Proportional to 174,625.50 and 335,764.50

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Solution

The third proportional to 174,625.50 and 335,764.50 is: 645,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,625.50 : 335,764.50 = 335,764.50 : x
  2. Step 2: Convert to fraction form
    174,625.50/335,764.50 = 335,764.50/x
  3. Step 3: Cross multiply
    174,625.50x = 335,764.50 × 335,764.50
  4. Step 4: Simplify right side
    174,625.50x = 112,737,799,460.25
  5. Step 5: Solve for x
    x = 112,737,799,460.25/174,625.50
  6. Step 6: Final answer
    x = 645,597.58

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.