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Finding the Third Proportional to 229,333 and 337,258

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Solution

The third proportional to 229,333 and 337,258 is: 495,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,333 : 337,258 = 337,258 : x
  2. Step 2: Convert to fraction form
    229,333/337,258 = 337,258/x
  3. Step 3: Cross multiply
    229,333x = 337,258 × 337,258
  4. Step 4: Simplify right side
    229,333x = 113,742,958,564
  5. Step 5: Solve for x
    x = 113,742,958,564/229,333
  6. Step 6: Final answer
    x = 495,972.92

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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.