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Finding the Third Proportional to 168,174 and 245,784.50

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Solution

The third proportional to 168,174 and 245,784.50 is: 359,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,174 : 245,784.50 = 245,784.50 : x
  2. Step 2: Convert to fraction form
    168,174/245,784.50 = 245,784.50/x
  3. Step 3: Cross multiply
    168,174x = 245,784.50 × 245,784.50
  4. Step 4: Simplify right side
    168,174x = 60,410,020,440.25
  5. Step 5: Solve for x
    x = 60,410,020,440.25/168,174
  6. Step 6: Final answer
    x = 359,211.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.