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Finding the Third Proportional to 80,389.34 and 171,465.93

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Solution

The third proportional to 80,389.34 and 171,465.93 is: 365,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,389.34 : 171,465.93 = 171,465.93 : x
  2. Step 2: Convert to fraction form
    80,389.34/171,465.93 = 171,465.93/x
  3. Step 3: Cross multiply
    80,389.34x = 171,465.93 × 171,465.93
  4. Step 4: Simplify right side
    80,389.34x = 29,400,563,704.02
  5. Step 5: Solve for x
    x = 29,400,563,704.02/80,389.34
  6. Step 6: Final answer
    x = 365,727.16

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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.