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Finding the Third Proportional to 219,388 and 337,065

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Solution

The third proportional to 219,388 and 337,065 is: 517,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,388 : 337,065 = 337,065 : x
  2. Step 2: Convert to fraction form
    219,388/337,065 = 337,065/x
  3. Step 3: Cross multiply
    219,388x = 337,065 × 337,065
  4. Step 4: Simplify right side
    219,388x = 113,612,814,225
  5. Step 5: Solve for x
    x = 113,612,814,225/219,388
  6. Step 6: Final answer
    x = 517,862.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.