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Finding the Third Proportional to 207,545 and 303,915.75

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Solution

The third proportional to 207,545 and 303,915.75 is: 445,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,545 : 303,915.75 = 303,915.75 : x
  2. Step 2: Convert to fraction form
    207,545/303,915.75 = 303,915.75/x
  3. Step 3: Cross multiply
    207,545x = 303,915.75 × 303,915.75
  4. Step 4: Simplify right side
    207,545x = 92,364,783,098.06
  5. Step 5: Solve for x
    x = 92,364,783,098.06/207,545
  6. Step 6: Final answer
    x = 445,034.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.