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Finding the Third Proportional to 194,315.06 and 285,915.66

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Solution

The third proportional to 194,315.06 and 285,915.66 is: 420,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,315.06 : 285,915.66 = 285,915.66 : x
  2. Step 2: Convert to fraction form
    194,315.06/285,915.66 = 285,915.66/x
  3. Step 3: Cross multiply
    194,315.06x = 285,915.66 × 285,915.66
  4. Step 4: Simplify right side
    194,315.06x = 81,747,762,488.87
  5. Step 5: Solve for x
    x = 81,747,762,488.87/194,315.06
  6. Step 6: Final answer
    x = 420,696.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.