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Finding the Third Proportional to 166,046 and 343,907

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Solution

The third proportional to 166,046 and 343,907 is: 712,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,046 : 343,907 = 343,907 : x
  2. Step 2: Convert to fraction form
    166,046/343,907 = 343,907/x
  3. Step 3: Cross multiply
    166,046x = 343,907 × 343,907
  4. Step 4: Simplify right side
    166,046x = 118,272,024,649
  5. Step 5: Solve for x
    x = 118,272,024,649/166,046
  6. Step 6: Final answer
    x = 712,284.70

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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.