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Finding the Third Proportional to 217,356 and 332,490

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Solution

The third proportional to 217,356 and 332,490 is: 508,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,356 : 332,490 = 332,490 : x
  2. Step 2: Convert to fraction form
    217,356/332,490 = 332,490/x
  3. Step 3: Cross multiply
    217,356x = 332,490 × 332,490
  4. Step 4: Simplify right side
    217,356x = 110,549,600,100
  5. Step 5: Solve for x
    x = 110,549,600,100/217,356
  6. Step 6: Final answer
    x = 508,610.76

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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.