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Finding the Third Proportional to 84,503.25 and 171,345.38

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Solution

The third proportional to 84,503.25 and 171,345.38 is: 347,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503.25 : 171,345.38 = 171,345.38 : x
  2. Step 2: Convert to fraction form
    84,503.25/171,345.38 = 171,345.38/x
  3. Step 3: Cross multiply
    84,503.25x = 171,345.38 × 171,345.38
  4. Step 4: Simplify right side
    84,503.25x = 29,359,237,533.89
  5. Step 5: Solve for x
    x = 29,359,237,533.89/84,503.25
  6. Step 6: Final answer
    x = 347,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.