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Finding the Third Proportional to 144,077.06 and 231,492.94

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Solution

The third proportional to 144,077.06 and 231,492.94 is: 371,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,077.06 : 231,492.94 = 231,492.94 : x
  2. Step 2: Convert to fraction form
    144,077.06/231,492.94 = 231,492.94/x
  3. Step 3: Cross multiply
    144,077.06x = 231,492.94 × 231,492.94
  4. Step 4: Simplify right side
    144,077.06x = 53,588,980,112.38
  5. Step 5: Solve for x
    x = 53,588,980,112.38/144,077.06
  6. Step 6: Final answer
    x = 371,946.65

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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.