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Finding the Third Proportional to 184,518 and 399,640.50

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Solution

The third proportional to 184,518 and 399,640.50 is: 865,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,518 : 399,640.50 = 399,640.50 : x
  2. Step 2: Convert to fraction form
    184,518/399,640.50 = 399,640.50/x
  3. Step 3: Cross multiply
    184,518x = 399,640.50 × 399,640.50
  4. Step 4: Simplify right side
    184,518x = 159,712,529,240.25
  5. Step 5: Solve for x
    x = 159,712,529,240.25/184,518
  6. Step 6: Final answer
    x = 865,566.12

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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.