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Finding the Third Proportional to 169,399 and 334,513

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Solution

The third proportional to 169,399 and 334,513 is: 660,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,399 : 334,513 = 334,513 : x
  2. Step 2: Convert to fraction form
    169,399/334,513 = 334,513/x
  3. Step 3: Cross multiply
    169,399x = 334,513 × 334,513
  4. Step 4: Simplify right side
    169,399x = 111,898,947,169
  5. Step 5: Solve for x
    x = 111,898,947,169/169,399
  6. Step 6: Final answer
    x = 660,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.