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Finding the Third Proportional to 229,058 and 346,096

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Solution

The third proportional to 229,058 and 346,096 is: 522,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,058 : 346,096 = 346,096 : x
  2. Step 2: Convert to fraction form
    229,058/346,096 = 346,096/x
  3. Step 3: Cross multiply
    229,058x = 346,096 × 346,096
  4. Step 4: Simplify right side
    229,058x = 119,782,441,216
  5. Step 5: Solve for x
    x = 119,782,441,216/229,058
  6. Step 6: Final answer
    x = 522,934.98

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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.