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Finding the Third Proportional to 143,714 and 294,340

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Solution

The third proportional to 143,714 and 294,340 is: 602,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,714 : 294,340 = 294,340 : x
  2. Step 2: Convert to fraction form
    143,714/294,340 = 294,340/x
  3. Step 3: Cross multiply
    143,714x = 294,340 × 294,340
  4. Step 4: Simplify right side
    143,714x = 86,636,035,600
  5. Step 5: Solve for x
    x = 86,636,035,600/143,714
  6. Step 6: Final answer
    x = 602,836.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.