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Finding the Third Proportional to 146,651.50 and 221,617.50

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Solution

The third proportional to 146,651.50 and 221,617.50 is: 334,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,651.50 : 221,617.50 = 221,617.50 : x
  2. Step 2: Convert to fraction form
    146,651.50/221,617.50 = 221,617.50/x
  3. Step 3: Cross multiply
    146,651.50x = 221,617.50 × 221,617.50
  4. Step 4: Simplify right side
    146,651.50x = 49,114,316,306.25
  5. Step 5: Solve for x
    x = 49,114,316,306.25/146,651.50
  6. Step 6: Final answer
    x = 334,904.97

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Why These Related Problems?

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