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Finding the Third Proportional to 208,297.50 and 454,225.50

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Solution

The third proportional to 208,297.50 and 454,225.50 is: 990,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,297.50 : 454,225.50 = 454,225.50 : x
  2. Step 2: Convert to fraction form
    208,297.50/454,225.50 = 454,225.50/x
  3. Step 3: Cross multiply
    208,297.50x = 454,225.50 × 454,225.50
  4. Step 4: Simplify right side
    208,297.50x = 206,320,804,850.25
  5. Step 5: Solve for x
    x = 206,320,804,850.25/208,297.50
  6. Step 6: Final answer
    x = 990,510.23

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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.