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Finding the Third Proportional to 211,338 and 327,746

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Solution

The third proportional to 211,338 and 327,746 is: 508,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,338 : 327,746 = 327,746 : x
  2. Step 2: Convert to fraction form
    211,338/327,746 = 327,746/x
  3. Step 3: Cross multiply
    211,338x = 327,746 × 327,746
  4. Step 4: Simplify right side
    211,338x = 107,417,440,516
  5. Step 5: Solve for x
    x = 107,417,440,516/211,338
  6. Step 6: Final answer
    x = 508,273.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.