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Finding the Third Proportional to 146,934 and 306,585

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Solution

The third proportional to 146,934 and 306,585 is: 639,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,934 : 306,585 = 306,585 : x
  2. Step 2: Convert to fraction form
    146,934/306,585 = 306,585/x
  3. Step 3: Cross multiply
    146,934x = 306,585 × 306,585
  4. Step 4: Simplify right side
    146,934x = 93,994,362,225
  5. Step 5: Solve for x
    x = 93,994,362,225/146,934
  6. Step 6: Final answer
    x = 639,704.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.