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Finding the Third Proportional to 219,054 and 329,553

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Solution

The third proportional to 219,054 and 329,553 is: 495,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,054 : 329,553 = 329,553 : x
  2. Step 2: Convert to fraction form
    219,054/329,553 = 329,553/x
  3. Step 3: Cross multiply
    219,054x = 329,553 × 329,553
  4. Step 4: Simplify right side
    219,054x = 108,605,179,809
  5. Step 5: Solve for x
    x = 108,605,179,809/219,054
  6. Step 6: Final answer
    x = 495,791.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.