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Finding the Third Proportional to 240,939 and 352,765

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Solution

The third proportional to 240,939 and 352,765 is: 516,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,939 : 352,765 = 352,765 : x
  2. Step 2: Convert to fraction form
    240,939/352,765 = 352,765/x
  3. Step 3: Cross multiply
    240,939x = 352,765 × 352,765
  4. Step 4: Simplify right side
    240,939x = 124,443,145,225
  5. Step 5: Solve for x
    x = 124,443,145,225/240,939
  6. Step 6: Final answer
    x = 516,492.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.