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Finding the Third Proportional to 156,258 and 323,588

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Solution

The third proportional to 156,258 and 323,588 is: 670,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,258 : 323,588 = 323,588 : x
  2. Step 2: Convert to fraction form
    156,258/323,588 = 323,588/x
  3. Step 3: Cross multiply
    156,258x = 323,588 × 323,588
  4. Step 4: Simplify right side
    156,258x = 104,709,193,744
  5. Step 5: Solve for x
    x = 104,709,193,744/156,258
  6. Step 6: Final answer
    x = 670,104.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.