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Finding the Third Proportional to 144,076.50 and 231,492.38

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Solution

The third proportional to 144,076.50 and 231,492.38 is: 371,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.50 : 231,492.38 = 231,492.38 : x
  2. Step 2: Convert to fraction form
    144,076.50/231,492.38 = 231,492.38/x
  3. Step 3: Cross multiply
    144,076.50x = 231,492.38 × 231,492.38
  4. Step 4: Simplify right side
    144,076.50x = 53,588,719,683.14
  5. Step 5: Solve for x
    x = 53,588,719,683.14/144,076.50
  6. Step 6: Final answer
    x = 371,946.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.