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Finding the Third Proportional to 204,896 and 316,432

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Solution

The third proportional to 204,896 and 316,432 is: 488,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,896 : 316,432 = 316,432 : x
  2. Step 2: Convert to fraction form
    204,896/316,432 = 316,432/x
  3. Step 3: Cross multiply
    204,896x = 316,432 × 316,432
  4. Step 4: Simplify right side
    204,896x = 100,129,210,624
  5. Step 5: Solve for x
    x = 100,129,210,624/204,896
  6. Step 6: Final answer
    x = 488,683.09

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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.