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Finding the Third Proportional to 116,530.50 and 176,371.50

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Solution

The third proportional to 116,530.50 and 176,371.50 is: 266,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,530.50 : 176,371.50 = 176,371.50 : x
  2. Step 2: Convert to fraction form
    116,530.50/176,371.50 = 176,371.50/x
  3. Step 3: Cross multiply
    116,530.50x = 176,371.50 × 176,371.50
  4. Step 4: Simplify right side
    116,530.50x = 31,106,906,012.25
  5. Step 5: Solve for x
    x = 31,106,906,012.25/116,530.50
  6. Step 6: Final answer
    x = 266,942.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.