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Finding the Third Proportional to 116,352.50 and 186,676.50

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Solution

The third proportional to 116,352.50 and 186,676.50 is: 299,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352.50 : 186,676.50 = 186,676.50 : x
  2. Step 2: Convert to fraction form
    116,352.50/186,676.50 = 186,676.50/x
  3. Step 3: Cross multiply
    116,352.50x = 186,676.50 × 186,676.50
  4. Step 4: Simplify right side
    116,352.50x = 34,848,115,652.25
  5. Step 5: Solve for x
    x = 34,848,115,652.25/116,352.50
  6. Step 6: Final answer
    x = 299,504.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.