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Finding the Third Proportional to 119,700 and 251,796

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Solution

The third proportional to 119,700 and 251,796 is: 529,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,700 : 251,796 = 251,796 : x
  2. Step 2: Convert to fraction form
    119,700/251,796 = 251,796/x
  3. Step 3: Cross multiply
    119,700x = 251,796 × 251,796
  4. Step 4: Simplify right side
    119,700x = 63,401,225,616
  5. Step 5: Solve for x
    x = 63,401,225,616/119,700
  6. Step 6: Final answer
    x = 529,667.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.