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Finding the Third Proportional to 229,049 and 346,084

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Solution

The third proportional to 229,049 and 346,084 is: 522,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,049 : 346,084 = 346,084 : x
  2. Step 2: Convert to fraction form
    229,049/346,084 = 346,084/x
  3. Step 3: Cross multiply
    229,049x = 346,084 × 346,084
  4. Step 4: Simplify right side
    229,049x = 119,774,135,056
  5. Step 5: Solve for x
    x = 119,774,135,056/229,049
  6. Step 6: Final answer
    x = 522,919.27

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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.