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Finding the Third Proportional to 178,008.75 and 275,536.13

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Solution

The third proportional to 178,008.75 and 275,536.13 is: 426,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.75 : 275,536.13 = 275,536.13 : x
  2. Step 2: Convert to fraction form
    178,008.75/275,536.13 = 275,536.13/x
  3. Step 3: Cross multiply
    178,008.75x = 275,536.13 × 275,536.13
  4. Step 4: Simplify right side
    178,008.75x = 75,920,156,180.02
  5. Step 5: Solve for x
    x = 75,920,156,180.02/178,008.75
  6. Step 6: Final answer
    x = 426,496.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.