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Finding the Third Proportional to 204,480 and 314,176

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Solution

The third proportional to 204,480 and 314,176 is: 482,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,480 : 314,176 = 314,176 : x
  2. Step 2: Convert to fraction form
    204,480/314,176 = 314,176/x
  3. Step 3: Cross multiply
    204,480x = 314,176 × 314,176
  4. Step 4: Simplify right side
    204,480x = 98,706,558,976
  5. Step 5: Solve for x
    x = 98,706,558,976/204,480
  6. Step 6: Final answer
    x = 482,719.87

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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.