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Finding the Third Proportional to 149,283 and 231,136.50

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Solution

The third proportional to 149,283 and 231,136.50 is: 357,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,283 : 231,136.50 = 231,136.50 : x
  2. Step 2: Convert to fraction form
    149,283/231,136.50 = 231,136.50/x
  3. Step 3: Cross multiply
    149,283x = 231,136.50 × 231,136.50
  4. Step 4: Simplify right side
    149,283x = 53,424,081,632.25
  5. Step 5: Solve for x
    x = 53,424,081,632.25/149,283
  6. Step 6: Final answer
    x = 357,871.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.