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Finding the Third Proportional to 136,954 and 298,822.50

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Solution

The third proportional to 136,954 and 298,822.50 is: 652,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,954 : 298,822.50 = 298,822.50 : x
  2. Step 2: Convert to fraction form
    136,954/298,822.50 = 298,822.50/x
  3. Step 3: Cross multiply
    136,954x = 298,822.50 × 298,822.50
  4. Step 4: Simplify right side
    136,954x = 89,294,886,506.25
  5. Step 5: Solve for x
    x = 89,294,886,506.25/136,954
  6. Step 6: Final answer
    x = 652,006.41

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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.