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Finding the Third Proportional to 208,465.52 and 455,162.97

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Solution

The third proportional to 208,465.52 and 455,162.97 is: 993,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,465.52 : 455,162.97 = 455,162.97 : x
  2. Step 2: Convert to fraction form
    208,465.52/455,162.97 = 455,162.97/x
  3. Step 3: Cross multiply
    208,465.52x = 455,162.97 × 455,162.97
  4. Step 4: Simplify right side
    208,465.52x = 207,173,327,232.34
  5. Step 5: Solve for x
    x = 207,173,327,232.34/208,465.52
  6. Step 6: Final answer
    x = 993,801.39

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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.