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Finding the Third Proportional to 210,799.13 and 310,614.75

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Solution

The third proportional to 210,799.13 and 310,614.75 is: 457,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,799.13 : 310,614.75 = 310,614.75 : x
  2. Step 2: Convert to fraction form
    210,799.13/310,614.75 = 310,614.75/x
  3. Step 3: Cross multiply
    210,799.13x = 310,614.75 × 310,614.75
  4. Step 4: Simplify right side
    210,799.13x = 96,481,522,917.56
  5. Step 5: Solve for x
    x = 96,481,522,917.56/210,799.13
  6. Step 6: Final answer
    x = 457,694.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.