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Finding the Third Proportional to 229,078 and 348,477

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Solution

The third proportional to 229,078 and 348,477 is: 530,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,078 : 348,477 = 348,477 : x
  2. Step 2: Convert to fraction form
    229,078/348,477 = 348,477/x
  3. Step 3: Cross multiply
    229,078x = 348,477 × 348,477
  4. Step 4: Simplify right side
    229,078x = 121,436,219,529
  5. Step 5: Solve for x
    x = 121,436,219,529/229,078
  6. Step 6: Final answer
    x = 530,108.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.