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Finding the Third Proportional to 137,020.50 and 298,876.50

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Solution

The third proportional to 137,020.50 and 298,876.50 is: 651,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020.50 : 298,876.50 = 298,876.50 : x
  2. Step 2: Convert to fraction form
    137,020.50/298,876.50 = 298,876.50/x
  3. Step 3: Cross multiply
    137,020.50x = 298,876.50 × 298,876.50
  4. Step 4: Simplify right side
    137,020.50x = 89,327,162,252.25
  5. Step 5: Solve for x
    x = 89,327,162,252.25/137,020.50
  6. Step 6: Final answer
    x = 651,925.53

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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.