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Finding the Third Proportional to 194,167.13 and 423,633.80

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Solution

The third proportional to 194,167.13 and 423,633.80 is: 924,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,167.13 : 423,633.80 = 423,633.80 : x
  2. Step 2: Convert to fraction form
    194,167.13/423,633.80 = 423,633.80/x
  3. Step 3: Cross multiply
    194,167.13x = 423,633.80 × 423,633.80
  4. Step 4: Simplify right side
    194,167.13x = 179,465,593,854.73
  5. Step 5: Solve for x
    x = 179,465,593,854.73/194,167.13
  6. Step 6: Final answer
    x = 924,284.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.