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Finding the Third Proportional to 184,533 and 399,664.50

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Solution

The third proportional to 184,533 and 399,664.50 is: 865,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,533 : 399,664.50 = 399,664.50 : x
  2. Step 2: Convert to fraction form
    184,533/399,664.50 = 399,664.50/x
  3. Step 3: Cross multiply
    184,533x = 399,664.50 × 399,664.50
  4. Step 4: Simplify right side
    184,533x = 159,731,712,560.25
  5. Step 5: Solve for x
    x = 159,731,712,560.25/184,533
  6. Step 6: Final answer
    x = 865,599.72

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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.