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Finding the Third Proportional to 238,156 and 513,705

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Solution

The third proportional to 238,156 and 513,705 is: 1,108,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,156 : 513,705 = 513,705 : x
  2. Step 2: Convert to fraction form
    238,156/513,705 = 513,705/x
  3. Step 3: Cross multiply
    238,156x = 513,705 × 513,705
  4. Step 4: Simplify right side
    238,156x = 263,892,827,025
  5. Step 5: Solve for x
    x = 263,892,827,025/238,156
  6. Step 6: Final answer
    x = 1,108,067.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.