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Finding the Third Proportional to 145,746 and 313,634

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Solution

The third proportional to 145,746 and 313,634 is: 674,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,746 : 313,634 = 313,634 : x
  2. Step 2: Convert to fraction form
    145,746/313,634 = 313,634/x
  3. Step 3: Cross multiply
    145,746x = 313,634 × 313,634
  4. Step 4: Simplify right side
    145,746x = 98,366,285,956
  5. Step 5: Solve for x
    x = 98,366,285,956/145,746
  6. Step 6: Final answer
    x = 674,915.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.