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Finding the Third Proportional to 102,834 and 229,299

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Solution

The third proportional to 102,834 and 229,299 is: 511,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834 : 229,299 = 229,299 : x
  2. Step 2: Convert to fraction form
    102,834/229,299 = 229,299/x
  3. Step 3: Cross multiply
    102,834x = 229,299 × 229,299
  4. Step 4: Simplify right side
    102,834x = 52,578,031,401
  5. Step 5: Solve for x
    x = 52,578,031,401/102,834
  6. Step 6: Final answer
    x = 511,290.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.