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Finding the Third Proportional to 208,496 and 455,230

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Solution

The third proportional to 208,496 and 455,230 is: 993,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,496 : 455,230 = 455,230 : x
  2. Step 2: Convert to fraction form
    208,496/455,230 = 455,230/x
  3. Step 3: Cross multiply
    208,496x = 455,230 × 455,230
  4. Step 4: Simplify right side
    208,496x = 207,234,352,900
  5. Step 5: Solve for x
    x = 207,234,352,900/208,496
  6. Step 6: Final answer
    x = 993,948.82

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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.