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Finding the Third Proportional to 140,973 and 303,951

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Solution

The third proportional to 140,973 and 303,951 is: 655,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,973 : 303,951 = 303,951 : x
  2. Step 2: Convert to fraction form
    140,973/303,951 = 303,951/x
  3. Step 3: Cross multiply
    140,973x = 303,951 × 303,951
  4. Step 4: Simplify right side
    140,973x = 92,386,210,401
  5. Step 5: Solve for x
    x = 92,386,210,401/140,973
  6. Step 6: Final answer
    x = 655,346.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.