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Finding the Third Proportional to 134,141.91 and 291,580.31

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Solution

The third proportional to 134,141.91 and 291,580.31 is: 633,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,141.91 : 291,580.31 = 291,580.31 : x
  2. Step 2: Convert to fraction form
    134,141.91/291,580.31 = 291,580.31/x
  3. Step 3: Cross multiply
    134,141.91x = 291,580.31 × 291,580.31
  4. Step 4: Simplify right side
    134,141.91x = 85,019,078,637.60
  5. Step 5: Solve for x
    x = 85,019,078,637.60/134,141.91
  6. Step 6: Final answer
    x = 633,799.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.