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Finding the Third Proportional to 146,107.50 and 262,386.75

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Solution

The third proportional to 146,107.50 and 262,386.75 is: 471,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,107.50 : 262,386.75 = 262,386.75 : x
  2. Step 2: Convert to fraction form
    146,107.50/262,386.75 = 262,386.75/x
  3. Step 3: Cross multiply
    146,107.50x = 262,386.75 × 262,386.75
  4. Step 4: Simplify right side
    146,107.50x = 68,846,806,575.56
  5. Step 5: Solve for x
    x = 68,846,806,575.56/146,107.50
  6. Step 6: Final answer
    x = 471,206.52

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.