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Finding the Third Proportional to 242,053.31 and 511,808.63

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Solution

The third proportional to 242,053.31 and 511,808.63 is: 1,082,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,053.31 : 511,808.63 = 511,808.63 : x
  2. Step 2: Convert to fraction form
    242,053.31/511,808.63 = 511,808.63/x
  3. Step 3: Cross multiply
    242,053.31x = 511,808.63 × 511,808.63
  4. Step 4: Simplify right side
    242,053.31x = 261,948,068,624.39
  5. Step 5: Solve for x
    x = 261,948,068,624.39/242,053.31
  6. Step 6: Final answer
    x = 1,082,191.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.