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Finding the Third Proportional to 164,976 and 247,032

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Solution

The third proportional to 164,976 and 247,032 is: 369,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,976 : 247,032 = 247,032 : x
  2. Step 2: Convert to fraction form
    164,976/247,032 = 247,032/x
  3. Step 3: Cross multiply
    164,976x = 247,032 × 247,032
  4. Step 4: Simplify right side
    164,976x = 61,024,809,024
  5. Step 5: Solve for x
    x = 61,024,809,024/164,976
  6. Step 6: Final answer
    x = 369,901.13

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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.