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Finding the Third Proportional to 167,136.75 and 357,601.50

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Solution

The third proportional to 167,136.75 and 357,601.50 is: 765,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,136.75 : 357,601.50 = 357,601.50 : x
  2. Step 2: Convert to fraction form
    167,136.75/357,601.50 = 357,601.50/x
  3. Step 3: Cross multiply
    167,136.75x = 357,601.50 × 357,601.50
  4. Step 4: Simplify right side
    167,136.75x = 127,878,832,802.25
  5. Step 5: Solve for x
    x = 127,878,832,802.25/167,136.75
  6. Step 6: Final answer
    x = 765,114.99

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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.