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Finding the Third Proportional to 74,220.75 and 155,732.63

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Solution

The third proportional to 74,220.75 and 155,732.63 is: 326,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,220.75 : 155,732.63 = 155,732.63 : x
  2. Step 2: Convert to fraction form
    74,220.75/155,732.63 = 155,732.63/x
  3. Step 3: Cross multiply
    74,220.75x = 155,732.63 × 155,732.63
  4. Step 4: Simplify right side
    74,220.75x = 24,252,650,489.39
  5. Step 5: Solve for x
    x = 24,252,650,489.39/74,220.75
  6. Step 6: Final answer
    x = 326,763.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.