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Finding the Third Proportional to 184,541 and 399,689.50

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Solution

The third proportional to 184,541 and 399,689.50 is: 865,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,541 : 399,689.50 = 399,689.50 : x
  2. Step 2: Convert to fraction form
    184,541/399,689.50 = 399,689.50/x
  3. Step 3: Cross multiply
    184,541x = 399,689.50 × 399,689.50
  4. Step 4: Simplify right side
    184,541x = 159,751,696,410.25
  5. Step 5: Solve for x
    x = 159,751,696,410.25/184,541
  6. Step 6: Final answer
    x = 865,670.48

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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.