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Finding the Third Proportional to 140,076 and 323,946

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Solution

The third proportional to 140,076 and 323,946 is: 749,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076 : 323,946 = 323,946 : x
  2. Step 2: Convert to fraction form
    140,076/323,946 = 323,946/x
  3. Step 3: Cross multiply
    140,076x = 323,946 × 323,946
  4. Step 4: Simplify right side
    140,076x = 104,941,010,916
  5. Step 5: Solve for x
    x = 104,941,010,916/140,076
  6. Step 6: Final answer
    x = 749,171.96

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.