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Finding the Third Proportional to 128,337 and 264,804

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Solution

The third proportional to 128,337 and 264,804 is: 546,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,337 : 264,804 = 264,804 : x
  2. Step 2: Convert to fraction form
    128,337/264,804 = 264,804/x
  3. Step 3: Cross multiply
    128,337x = 264,804 × 264,804
  4. Step 4: Simplify right side
    128,337x = 70,121,158,416
  5. Step 5: Solve for x
    x = 70,121,158,416/128,337
  6. Step 6: Final answer
    x = 546,383.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.