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Finding the Third Proportional to 219,426 and 332,217

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Solution

The third proportional to 219,426 and 332,217 is: 502,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,426 : 332,217 = 332,217 : x
  2. Step 2: Convert to fraction form
    219,426/332,217 = 332,217/x
  3. Step 3: Cross multiply
    219,426x = 332,217 × 332,217
  4. Step 4: Simplify right side
    219,426x = 110,368,135,089
  5. Step 5: Solve for x
    x = 110,368,135,089/219,426
  6. Step 6: Final answer
    x = 502,985.68

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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.