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Finding the Third Proportional to 151,591.50 and 357,196.50

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Solution

The third proportional to 151,591.50 and 357,196.50 is: 841,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,591.50 : 357,196.50 = 357,196.50 : x
  2. Step 2: Convert to fraction form
    151,591.50/357,196.50 = 357,196.50/x
  3. Step 3: Cross multiply
    151,591.50x = 357,196.50 × 357,196.50
  4. Step 4: Simplify right side
    151,591.50x = 127,589,339,612.25
  5. Step 5: Solve for x
    x = 127,589,339,612.25/151,591.50
  6. Step 6: Final answer
    x = 841,665.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.