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Finding the Third Proportional to 266,319.75 and 374,596.50

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Solution

The third proportional to 266,319.75 and 374,596.50 is: 526,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,319.75 : 374,596.50 = 374,596.50 : x
  2. Step 2: Convert to fraction form
    266,319.75/374,596.50 = 374,596.50/x
  3. Step 3: Cross multiply
    266,319.75x = 374,596.50 × 374,596.50
  4. Step 4: Simplify right side
    266,319.75x = 140,322,537,812.25
  5. Step 5: Solve for x
    x = 140,322,537,812.25/266,319.75
  6. Step 6: Final answer
    x = 526,894.97

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Why These Related Problems?

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