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Finding the Third Proportional to 229,032 and 346,059

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Solution

The third proportional to 229,032 and 346,059 is: 522,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,032 : 346,059 = 346,059 : x
  2. Step 2: Convert to fraction form
    229,032/346,059 = 346,059/x
  3. Step 3: Cross multiply
    229,032x = 346,059 × 346,059
  4. Step 4: Simplify right side
    229,032x = 119,756,831,481
  5. Step 5: Solve for x
    x = 119,756,831,481/229,032
  6. Step 6: Final answer
    x = 522,882.53

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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.