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Finding the Third Proportional to 137,401.50 and 218,570.25

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Solution

The third proportional to 137,401.50 and 218,570.25 is: 347,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401.50 : 218,570.25 = 218,570.25 : x
  2. Step 2: Convert to fraction form
    137,401.50/218,570.25 = 218,570.25/x
  3. Step 3: Cross multiply
    137,401.50x = 218,570.25 × 218,570.25
  4. Step 4: Simplify right side
    137,401.50x = 47,772,954,185.06
  5. Step 5: Solve for x
    x = 47,772,954,185.06/137,401.50
  6. Step 6: Final answer
    x = 347,688.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.