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Finding the Third Proportional to 251,914 and 352,235

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Solution

The third proportional to 251,914 and 352,235 is: 492,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,914 : 352,235 = 352,235 : x
  2. Step 2: Convert to fraction form
    251,914/352,235 = 352,235/x
  3. Step 3: Cross multiply
    251,914x = 352,235 × 352,235
  4. Step 4: Simplify right side
    251,914x = 124,069,495,225
  5. Step 5: Solve for x
    x = 124,069,495,225/251,914
  6. Step 6: Final answer
    x = 492,507.34

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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.