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Finding the Third Proportional to 229,045 and 346,078

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Solution

The third proportional to 229,045 and 346,078 is: 522,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,045 : 346,078 = 346,078 : x
  2. Step 2: Convert to fraction form
    229,045/346,078 = 346,078/x
  3. Step 3: Cross multiply
    229,045x = 346,078 × 346,078
  4. Step 4: Simplify right side
    229,045x = 119,769,982,084
  5. Step 5: Solve for x
    x = 119,769,982,084/229,045
  6. Step 6: Final answer
    x = 522,910.27

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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.