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Finding the Third Proportional to 166,054 and 343,924

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Solution

The third proportional to 166,054 and 343,924 is: 712,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,054 : 343,924 = 343,924 : x
  2. Step 2: Convert to fraction form
    166,054/343,924 = 343,924/x
  3. Step 3: Cross multiply
    166,054x = 343,924 × 343,924
  4. Step 4: Simplify right side
    166,054x = 118,283,717,776
  5. Step 5: Solve for x
    x = 118,283,717,776/166,054
  6. Step 6: Final answer
    x = 712,320.80

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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.