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Finding the Third Proportional to 251,164 and 352,006

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Solution

The third proportional to 251,164 and 352,006 is: 493,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,164 : 352,006 = 352,006 : x
  2. Step 2: Convert to fraction form
    251,164/352,006 = 352,006/x
  3. Step 3: Cross multiply
    251,164x = 352,006 × 352,006
  4. Step 4: Simplify right side
    251,164x = 123,908,224,036
  5. Step 5: Solve for x
    x = 123,908,224,036/251,164
  6. Step 6: Final answer
    x = 493,335.92

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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.