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Finding the Third Proportional to 116,350.50 and 186,673.50

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Solution

The third proportional to 116,350.50 and 186,673.50 is: 299,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,350.50 : 186,673.50 = 186,673.50 : x
  2. Step 2: Convert to fraction form
    116,350.50/186,673.50 = 186,673.50/x
  3. Step 3: Cross multiply
    116,350.50x = 186,673.50 × 186,673.50
  4. Step 4: Simplify right side
    116,350.50x = 34,846,995,602.25
  5. Step 5: Solve for x
    x = 34,846,995,602.25/116,350.50
  6. Step 6: Final answer
    x = 299,500.18

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