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Finding the Third Proportional to 136,438.31 and 291,579.75

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Solution

The third proportional to 136,438.31 and 291,579.75 is: 623,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438.31 : 291,579.75 = 291,579.75 : x
  2. Step 2: Convert to fraction form
    136,438.31/291,579.75 = 291,579.75/x
  3. Step 3: Cross multiply
    136,438.31x = 291,579.75 × 291,579.75
  4. Step 4: Simplify right side
    136,438.31x = 85,018,750,610.06
  5. Step 5: Solve for x
    x = 85,018,750,610.06/136,438.31
  6. Step 6: Final answer
    x = 623,129.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.