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Finding the Third Proportional to 199,914.75 and 316,500.75

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Solution

The third proportional to 199,914.75 and 316,500.75 is: 501,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,914.75 : 316,500.75 = 316,500.75 : x
  2. Step 2: Convert to fraction form
    199,914.75/316,500.75 = 316,500.75/x
  3. Step 3: Cross multiply
    199,914.75x = 316,500.75 × 316,500.75
  4. Step 4: Simplify right side
    199,914.75x = 100,172,724,750.56
  5. Step 5: Solve for x
    x = 100,172,724,750.56/199,914.75
  6. Step 6: Final answer
    x = 501,077.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.