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Finding the Third Proportional to 94,674.75 and 205,957.50

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Solution

The third proportional to 94,674.75 and 205,957.50 is: 448,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,674.75 : 205,957.50 = 205,957.50 : x
  2. Step 2: Convert to fraction form
    94,674.75/205,957.50 = 205,957.50/x
  3. Step 3: Cross multiply
    94,674.75x = 205,957.50 × 205,957.50
  4. Step 4: Simplify right side
    94,674.75x = 42,418,491,806.25
  5. Step 5: Solve for x
    x = 42,418,491,806.25/94,674.75
  6. Step 6: Final answer
    x = 448,044.40

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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.