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Finding the Third Proportional to 229,039 and 346,069

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Solution

The third proportional to 229,039 and 346,069 is: 522,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,039 : 346,069 = 346,069 : x
  2. Step 2: Convert to fraction form
    229,039/346,069 = 346,069/x
  3. Step 3: Cross multiply
    229,039x = 346,069 × 346,069
  4. Step 4: Simplify right side
    229,039x = 119,763,752,761
  5. Step 5: Solve for x
    x = 119,763,752,761/229,039
  6. Step 6: Final answer
    x = 522,896.77

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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.