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Finding the Third Proportional to 174,226.50 and 245,358

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Solution

The third proportional to 174,226.50 and 245,358 is: 345,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,226.50 : 245,358 = 245,358 : x
  2. Step 2: Convert to fraction form
    174,226.50/245,358 = 245,358/x
  3. Step 3: Cross multiply
    174,226.50x = 245,358 × 245,358
  4. Step 4: Simplify right side
    174,226.50x = 60,200,548,164
  5. Step 5: Solve for x
    x = 60,200,548,164/174,226.50
  6. Step 6: Final answer
    x = 345,530.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.