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Finding the Third Proportional to 251,160 and 352,000

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Solution

The third proportional to 251,160 and 352,000 is: 493,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,160 : 352,000 = 352,000 : x
  2. Step 2: Convert to fraction form
    251,160/352,000 = 352,000/x
  3. Step 3: Cross multiply
    251,160x = 352,000 × 352,000
  4. Step 4: Simplify right side
    251,160x = 123,904,000,000
  5. Step 5: Solve for x
    x = 123,904,000,000/251,160
  6. Step 6: Final answer
    x = 493,326.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.