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Finding the Third Proportional to 255,012.75 and 374,743.13

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Solution

The third proportional to 255,012.75 and 374,743.13 is: 550,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012.75 : 374,743.13 = 374,743.13 : x
  2. Step 2: Convert to fraction form
    255,012.75/374,743.13 = 374,743.13/x
  3. Step 3: Cross multiply
    255,012.75x = 374,743.13 × 374,743.13
  4. Step 4: Simplify right side
    255,012.75x = 140,432,409,734.77
  5. Step 5: Solve for x
    x = 140,432,409,734.77/255,012.75
  6. Step 6: Final answer
    x = 550,687.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.