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Finding the Third Proportional to 214,588.69 and 331,746.47

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Solution

The third proportional to 214,588.69 and 331,746.47 is: 512,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,588.69 : 331,746.47 = 331,746.47 : x
  2. Step 2: Convert to fraction form
    214,588.69/331,746.47 = 331,746.47/x
  3. Step 3: Cross multiply
    214,588.69x = 331,746.47 × 331,746.47
  4. Step 4: Simplify right side
    214,588.69x = 110,055,719,528.10
  5. Step 5: Solve for x
    x = 110,055,719,528.10/214,588.69
  6. Step 6: Final answer
    x = 512,868.23

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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.