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Finding the Third Proportional to 96,480 and 205,704

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Solution

The third proportional to 96,480 and 205,704 is: 438,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,480 : 205,704 = 205,704 : x
  2. Step 2: Convert to fraction form
    96,480/205,704 = 205,704/x
  3. Step 3: Cross multiply
    96,480x = 205,704 × 205,704
  4. Step 4: Simplify right side
    96,480x = 42,314,135,616
  5. Step 5: Solve for x
    x = 42,314,135,616/96,480
  6. Step 6: Final answer
    x = 438,579.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.