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Finding the Third Proportional to 172,596 and 357,175

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Solution

The third proportional to 172,596 and 357,175 is: 739,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,596 : 357,175 = 357,175 : x
  2. Step 2: Convert to fraction form
    172,596/357,175 = 357,175/x
  3. Step 3: Cross multiply
    172,596x = 357,175 × 357,175
  4. Step 4: Simplify right side
    172,596x = 127,573,980,625
  5. Step 5: Solve for x
    x = 127,573,980,625/172,596
  6. Step 6: Final answer
    x = 739,147.96

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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.