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Finding the Third Proportional to 159,646.31 and 245,460.75

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Solution

The third proportional to 159,646.31 and 245,460.75 is: 377,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,646.31 : 245,460.75 = 245,460.75 : x
  2. Step 2: Convert to fraction form
    159,646.31/245,460.75 = 245,460.75/x
  3. Step 3: Cross multiply
    159,646.31x = 245,460.75 × 245,460.75
  4. Step 4: Simplify right side
    159,646.31x = 60,250,979,790.56
  5. Step 5: Solve for x
    x = 60,250,979,790.56/159,646.31
  6. Step 6: Final answer
    x = 377,402.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.