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Finding the Third Proportional to 229,104 and 346,176

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Solution

The third proportional to 229,104 and 346,176 is: 523,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,104 : 346,176 = 346,176 : x
  2. Step 2: Convert to fraction form
    229,104/346,176 = 346,176/x
  3. Step 3: Cross multiply
    229,104x = 346,176 × 346,176
  4. Step 4: Simplify right side
    229,104x = 119,837,822,976
  5. Step 5: Solve for x
    x = 119,837,822,976/229,104
  6. Step 6: Final answer
    x = 523,071.72

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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.