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Finding the Third Proportional to 146,137.50 and 198,038.25

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Solution

The third proportional to 146,137.50 and 198,038.25 is: 268,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,137.50 : 198,038.25 = 198,038.25 : x
  2. Step 2: Convert to fraction form
    146,137.50/198,038.25 = 198,038.25/x
  3. Step 3: Cross multiply
    146,137.50x = 198,038.25 × 198,038.25
  4. Step 4: Simplify right side
    146,137.50x = 39,219,148,463.06
  5. Step 5: Solve for x
    x = 39,219,148,463.06/146,137.50
  6. Step 6: Final answer
    x = 268,371.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.