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Finding the Third Proportional to 165,004 and 247,870

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Solution

The third proportional to 165,004 and 247,870 is: 372,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,004 : 247,870 = 247,870 : x
  2. Step 2: Convert to fraction form
    165,004/247,870 = 247,870/x
  3. Step 3: Cross multiply
    165,004x = 247,870 × 247,870
  4. Step 4: Simplify right side
    165,004x = 61,439,536,900
  5. Step 5: Solve for x
    x = 61,439,536,900/165,004
  6. Step 6: Final answer
    x = 372,351.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.