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Finding the Third Proportional to 174,934.50 and 362,314.50

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Solution

The third proportional to 174,934.50 and 362,314.50 is: 750,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.50 : 362,314.50 = 362,314.50 : x
  2. Step 2: Convert to fraction form
    174,934.50/362,314.50 = 362,314.50/x
  3. Step 3: Cross multiply
    174,934.50x = 362,314.50 × 362,314.50
  4. Step 4: Simplify right side
    174,934.50x = 131,271,796,910.25
  5. Step 5: Solve for x
    x = 131,271,796,910.25/174,934.50
  6. Step 6: Final answer
    x = 750,405.42

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.