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Finding the Third Proportional to 217,090.13 and 335,476.69

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Solution

The third proportional to 217,090.13 and 335,476.69 is: 518,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,090.13 : 335,476.69 = 335,476.69 : x
  2. Step 2: Convert to fraction form
    217,090.13/335,476.69 = 335,476.69/x
  3. Step 3: Cross multiply
    217,090.13x = 335,476.69 × 335,476.69
  4. Step 4: Simplify right side
    217,090.13x = 112,544,607,855.97
  5. Step 5: Solve for x
    x = 112,544,607,855.97/217,090.13
  6. Step 6: Final answer
    x = 518,423.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.