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Finding the Third Proportional to 216,376 and 332,788

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Solution

The third proportional to 216,376 and 332,788 is: 511,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376 : 332,788 = 332,788 : x
  2. Step 2: Convert to fraction form
    216,376/332,788 = 332,788/x
  3. Step 3: Cross multiply
    216,376x = 332,788 × 332,788
  4. Step 4: Simplify right side
    216,376x = 110,747,852,944
  5. Step 5: Solve for x
    x = 110,747,852,944/216,376
  6. Step 6: Final answer
    x = 511,830.58

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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.