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Finding the Third Proportional to 229,686 and 337,964

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Solution

The third proportional to 229,686 and 337,964 is: 497,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,686 : 337,964 = 337,964 : x
  2. Step 2: Convert to fraction form
    229,686/337,964 = 337,964/x
  3. Step 3: Cross multiply
    229,686x = 337,964 × 337,964
  4. Step 4: Simplify right side
    229,686x = 114,219,665,296
  5. Step 5: Solve for x
    x = 114,219,665,296/229,686
  6. Step 6: Final answer
    x = 497,286.14

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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.