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Finding the Third Proportional to 205,176 and 314,934

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Solution

The third proportional to 205,176 and 314,934 is: 483,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,176 : 314,934 = 314,934 : x
  2. Step 2: Convert to fraction form
    205,176/314,934 = 314,934/x
  3. Step 3: Cross multiply
    205,176x = 314,934 × 314,934
  4. Step 4: Simplify right side
    205,176x = 99,183,424,356
  5. Step 5: Solve for x
    x = 99,183,424,356/205,176
  6. Step 6: Final answer
    x = 483,406.56

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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.