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Finding the Third Proportional to 184,260 and 399,621

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Solution

The third proportional to 184,260 and 399,621 is: 866,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,260 : 399,621 = 399,621 : x
  2. Step 2: Convert to fraction form
    184,260/399,621 = 399,621/x
  3. Step 3: Cross multiply
    184,260x = 399,621 × 399,621
  4. Step 4: Simplify right side
    184,260x = 159,696,943,641
  5. Step 5: Solve for x
    x = 159,696,943,641/184,260
  6. Step 6: Final answer
    x = 866,693.50

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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.