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Finding the Third Proportional to 145,732 and 313,818

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Solution

The third proportional to 145,732 and 313,818 is: 675,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,732 : 313,818 = 313,818 : x
  2. Step 2: Convert to fraction form
    145,732/313,818 = 313,818/x
  3. Step 3: Cross multiply
    145,732x = 313,818 × 313,818
  4. Step 4: Simplify right side
    145,732x = 98,481,737,124
  5. Step 5: Solve for x
    x = 98,481,737,124/145,732
  6. Step 6: Final answer
    x = 675,772.91

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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.