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Finding the Third Proportional to 164,525 and 341,497

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Solution

The third proportional to 164,525 and 341,497 is: 708,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,525 : 341,497 = 341,497 : x
  2. Step 2: Convert to fraction form
    164,525/341,497 = 341,497/x
  3. Step 3: Cross multiply
    164,525x = 341,497 × 341,497
  4. Step 4: Simplify right side
    164,525x = 116,620,201,009
  5. Step 5: Solve for x
    x = 116,620,201,009/164,525
  6. Step 6: Final answer
    x = 708,829.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.