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Finding the Third Proportional to 146,384.75 and 218,358.65

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Solution

The third proportional to 146,384.75 and 218,358.65 is: 325,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,384.75 : 218,358.65 = 218,358.65 : x
  2. Step 2: Convert to fraction form
    146,384.75/218,358.65 = 218,358.65/x
  3. Step 3: Cross multiply
    146,384.75x = 218,358.65 × 218,358.65
  4. Step 4: Simplify right side
    146,384.75x = 47,680,500,200.41
  5. Step 5: Solve for x
    x = 47,680,500,200.41/146,384.75
  6. Step 6: Final answer
    x = 325,720.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.