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Finding the Third Proportional to 194,282.30 and 299,729.11

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Solution

The third proportional to 194,282.30 and 299,729.11 is: 462,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,282.30 : 299,729.11 = 299,729.11 : x
  2. Step 2: Convert to fraction form
    194,282.30/299,729.11 = 299,729.11/x
  3. Step 3: Cross multiply
    194,282.30x = 299,729.11 × 299,729.11
  4. Step 4: Simplify right side
    194,282.30x = 89,837,539,006.73
  5. Step 5: Solve for x
    x = 89,837,539,006.73/194,282.30
  6. Step 6: Final answer
    x = 462,407.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.