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Finding the Third Proportional to 116,910 and 282,676.50

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Solution

The third proportional to 116,910 and 282,676.50 is: 683,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,910 : 282,676.50 = 282,676.50 : x
  2. Step 2: Convert to fraction form
    116,910/282,676.50 = 282,676.50/x
  3. Step 3: Cross multiply
    116,910x = 282,676.50 × 282,676.50
  4. Step 4: Simplify right side
    116,910x = 79,906,003,652.25
  5. Step 5: Solve for x
    x = 79,906,003,652.25/116,910
  6. Step 6: Final answer
    x = 683,483.05

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.