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Finding the Third Proportional to 207,577.05 and 265,242.09

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Solution

The third proportional to 207,577.05 and 265,242.09 is: 338,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,577.05 : 265,242.09 = 265,242.09 : x
  2. Step 2: Convert to fraction form
    207,577.05/265,242.09 = 265,242.09/x
  3. Step 3: Cross multiply
    207,577.05x = 265,242.09 × 265,242.09
  4. Step 4: Simplify right side
    207,577.05x = 70,353,368,296.88
  5. Step 5: Solve for x
    x = 70,353,368,296.88/207,577.05
  6. Step 6: Final answer
    x = 338,926.52

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.