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Finding the Third Proportional to 234,069 and 352,752

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Solution

The third proportional to 234,069 and 352,752 is: 531,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,069 : 352,752 = 352,752 : x
  2. Step 2: Convert to fraction form
    234,069/352,752 = 352,752/x
  3. Step 3: Cross multiply
    234,069x = 352,752 × 352,752
  4. Step 4: Simplify right side
    234,069x = 124,433,973,504
  5. Step 5: Solve for x
    x = 124,433,973,504/234,069
  6. Step 6: Final answer
    x = 531,612.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.