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Finding the Third Proportional to 229,024 and 336,695

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Solution

The third proportional to 229,024 and 336,695 is: 494,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,024 : 336,695 = 336,695 : x
  2. Step 2: Convert to fraction form
    229,024/336,695 = 336,695/x
  3. Step 3: Cross multiply
    229,024x = 336,695 × 336,695
  4. Step 4: Simplify right side
    229,024x = 113,363,523,025
  5. Step 5: Solve for x
    x = 113,363,523,025/229,024
  6. Step 6: Final answer
    x = 494,985.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.