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Finding the Third Proportional to 195,427.69 and 423,964.13

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Solution

The third proportional to 195,427.69 and 423,964.13 is: 919,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,427.69 : 423,964.13 = 423,964.13 : x
  2. Step 2: Convert to fraction form
    195,427.69/423,964.13 = 423,964.13/x
  3. Step 3: Cross multiply
    195,427.69x = 423,964.13 × 423,964.13
  4. Step 4: Simplify right side
    195,427.69x = 179,745,579,287.02
  5. Step 5: Solve for x
    x = 179,745,579,287.02/195,427.69
  6. Step 6: Final answer
    x = 919,754.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.