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Finding the Third Proportional to 146,920.50 and 329,787

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Solution

The third proportional to 146,920.50 and 329,787 is: 740,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,920.50 : 329,787 = 329,787 : x
  2. Step 2: Convert to fraction form
    146,920.50/329,787 = 329,787/x
  3. Step 3: Cross multiply
    146,920.50x = 329,787 × 329,787
  4. Step 4: Simplify right side
    146,920.50x = 108,759,465,369
  5. Step 5: Solve for x
    x = 108,759,465,369/146,920.50
  6. Step 6: Final answer
    x = 740,260.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.