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Finding the Third Proportional to 169,414 and 360,740

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Solution

The third proportional to 169,414 and 360,740 is: 768,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,414 : 360,740 = 360,740 : x
  2. Step 2: Convert to fraction form
    169,414/360,740 = 360,740/x
  3. Step 3: Cross multiply
    169,414x = 360,740 × 360,740
  4. Step 4: Simplify right side
    169,414x = 130,133,347,600
  5. Step 5: Solve for x
    x = 130,133,347,600/169,414
  6. Step 6: Final answer
    x = 768,138.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.