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Finding the Third Proportional to 129,922.13 and 284,670.75

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Solution

The third proportional to 129,922.13 and 284,670.75 is: 623,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,922.13 : 284,670.75 = 284,670.75 : x
  2. Step 2: Convert to fraction form
    129,922.13/284,670.75 = 284,670.75/x
  3. Step 3: Cross multiply
    129,922.13x = 284,670.75 × 284,670.75
  4. Step 4: Simplify right side
    129,922.13x = 81,037,435,905.56
  5. Step 5: Solve for x
    x = 81,037,435,905.56/129,922.13
  6. Step 6: Final answer
    x = 623,738.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.