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Finding the Third Proportional to 251,931 and 352,216.50

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Solution

The third proportional to 251,931 and 352,216.50 is: 492,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,931 : 352,216.50 = 352,216.50 : x
  2. Step 2: Convert to fraction form
    251,931/352,216.50 = 352,216.50/x
  3. Step 3: Cross multiply
    251,931x = 352,216.50 × 352,216.50
  4. Step 4: Simplify right side
    251,931x = 124,056,462,872.25
  5. Step 5: Solve for x
    x = 124,056,462,872.25/251,931
  6. Step 6: Final answer
    x = 492,422.38

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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.