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Finding the Third Proportional to 208,599.75 and 455,265

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Solution

The third proportional to 208,599.75 and 455,265 is: 993,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.75 : 455,265 = 455,265 : x
  2. Step 2: Convert to fraction form
    208,599.75/455,265 = 455,265/x
  3. Step 3: Cross multiply
    208,599.75x = 455,265 × 455,265
  4. Step 4: Simplify right side
    208,599.75x = 207,266,220,225
  5. Step 5: Solve for x
    x = 207,266,220,225/208,599.75
  6. Step 6: Final answer
    x = 993,607.23

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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.