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Finding the Third Proportional to 144,714 and 300,510

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Solution

The third proportional to 144,714 and 300,510 is: 624,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,714 : 300,510 = 300,510 : x
  2. Step 2: Convert to fraction form
    144,714/300,510 = 300,510/x
  3. Step 3: Cross multiply
    144,714x = 300,510 × 300,510
  4. Step 4: Simplify right side
    144,714x = 90,306,260,100
  5. Step 5: Solve for x
    x = 90,306,260,100/144,714
  6. Step 6: Final answer
    x = 624,032.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.