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Finding the Third Proportional to 136,827 and 299,532

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Solution

The third proportional to 136,827 and 299,532 is: 655,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,827 : 299,532 = 299,532 : x
  2. Step 2: Convert to fraction form
    136,827/299,532 = 299,532/x
  3. Step 3: Cross multiply
    136,827x = 299,532 × 299,532
  4. Step 4: Simplify right side
    136,827x = 89,719,419,024
  5. Step 5: Solve for x
    x = 89,719,419,024/136,827
  6. Step 6: Final answer
    x = 655,714.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.