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Finding the Third Proportional to 217,336 and 332,461

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Solution

The third proportional to 217,336 and 332,461 is: 508,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,336 : 332,461 = 332,461 : x
  2. Step 2: Convert to fraction form
    217,336/332,461 = 332,461/x
  3. Step 3: Cross multiply
    217,336x = 332,461 × 332,461
  4. Step 4: Simplify right side
    217,336x = 110,530,316,521
  5. Step 5: Solve for x
    x = 110,530,316,521/217,336
  6. Step 6: Final answer
    x = 508,568.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.