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Finding the Third Proportional to 165,577.50 and 368,627.63

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Solution

The third proportional to 165,577.50 and 368,627.63 is: 820,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,577.50 : 368,627.63 = 368,627.63 : x
  2. Step 2: Convert to fraction form
    165,577.50/368,627.63 = 368,627.63/x
  3. Step 3: Cross multiply
    165,577.50x = 368,627.63 × 368,627.63
  4. Step 4: Simplify right side
    165,577.50x = 135,886,325,913.14
  5. Step 5: Solve for x
    x = 135,886,325,913.14/165,577.50
  6. Step 6: Final answer
    x = 820,681.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.