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Finding the Third Proportional to 166,509 and 346,842

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Solution

The third proportional to 166,509 and 346,842 is: 722,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,509 : 346,842 = 346,842 : x
  2. Step 2: Convert to fraction form
    166,509/346,842 = 346,842/x
  3. Step 3: Cross multiply
    166,509x = 346,842 × 346,842
  4. Step 4: Simplify right side
    166,509x = 120,299,372,964
  5. Step 5: Solve for x
    x = 120,299,372,964/166,509
  6. Step 6: Final answer
    x = 722,479.70

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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.