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Finding the Third Proportional to 226,301.63 and 341,758.13

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Solution

The third proportional to 226,301.63 and 341,758.13 is: 516,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,301.63 : 341,758.13 = 341,758.13 : x
  2. Step 2: Convert to fraction form
    226,301.63/341,758.13 = 341,758.13/x
  3. Step 3: Cross multiply
    226,301.63x = 341,758.13 × 341,758.13
  4. Step 4: Simplify right side
    226,301.63x = 116,798,616,003.52
  5. Step 5: Solve for x
    x = 116,798,616,003.52/226,301.63
  6. Step 6: Final answer
    x = 516,119.21

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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.