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Finding the Third Proportional to 84,931.50 and 184,605

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Solution

The third proportional to 84,931.50 and 184,605 is: 401,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,931.50 : 184,605 = 184,605 : x
  2. Step 2: Convert to fraction form
    84,931.50/184,605 = 184,605/x
  3. Step 3: Cross multiply
    84,931.50x = 184,605 × 184,605
  4. Step 4: Simplify right side
    84,931.50x = 34,079,006,025
  5. Step 5: Solve for x
    x = 34,079,006,025/84,931.50
  6. Step 6: Final answer
    x = 401,252.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.