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Finding the Third Proportional to 130,494 and 173,506.50

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Solution

The third proportional to 130,494 and 173,506.50 is: 230,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,494 : 173,506.50 = 173,506.50 : x
  2. Step 2: Convert to fraction form
    130,494/173,506.50 = 173,506.50/x
  3. Step 3: Cross multiply
    130,494x = 173,506.50 × 173,506.50
  4. Step 4: Simplify right side
    130,494x = 30,104,505,542.25
  5. Step 5: Solve for x
    x = 30,104,505,542.25/130,494
  6. Step 6: Final answer
    x = 230,696.47

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.