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Finding the Third Proportional to 210,208.50 and 317,499.75

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Solution

The third proportional to 210,208.50 and 317,499.75 is: 479,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208.50 : 317,499.75 = 317,499.75 : x
  2. Step 2: Convert to fraction form
    210,208.50/317,499.75 = 317,499.75/x
  3. Step 3: Cross multiply
    210,208.50x = 317,499.75 × 317,499.75
  4. Step 4: Simplify right side
    210,208.50x = 100,806,091,250.06
  5. Step 5: Solve for x
    x = 100,806,091,250.06/210,208.50
  6. Step 6: Final answer
    x = 479,552.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.