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Finding the Third Proportional to 200,714 and 293,536

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Solution

The third proportional to 200,714 and 293,536 is: 429,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714 : 293,536 = 293,536 : x
  2. Step 2: Convert to fraction form
    200,714/293,536 = 293,536/x
  3. Step 3: Cross multiply
    200,714x = 293,536 × 293,536
  4. Step 4: Simplify right side
    200,714x = 86,163,383,296
  5. Step 5: Solve for x
    x = 86,163,383,296/200,714
  6. Step 6: Final answer
    x = 429,284.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.