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Finding the Third Proportional to 178,475.50 and 389,507

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Solution

The third proportional to 178,475.50 and 389,507 is: 850,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,475.50 : 389,507 = 389,507 : x
  2. Step 2: Convert to fraction form
    178,475.50/389,507 = 389,507/x
  3. Step 3: Cross multiply
    178,475.50x = 389,507 × 389,507
  4. Step 4: Simplify right side
    178,475.50x = 151,715,703,049
  5. Step 5: Solve for x
    x = 151,715,703,049/178,475.50
  6. Step 6: Final answer
    x = 850,064.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.