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Finding the Third Proportional to 200,407.50 and 311,694.75

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Solution

The third proportional to 200,407.50 and 311,694.75 is: 484,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407.50 : 311,694.75 = 311,694.75 : x
  2. Step 2: Convert to fraction form
    200,407.50/311,694.75 = 311,694.75/x
  3. Step 3: Cross multiply
    200,407.50x = 311,694.75 × 311,694.75
  4. Step 4: Simplify right side
    200,407.50x = 97,153,617,177.56
  5. Step 5: Solve for x
    x = 97,153,617,177.56/200,407.50
  6. Step 6: Final answer
    x = 484,780.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.