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Finding the Third Proportional to 161,976 and 340,332

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Solution

The third proportional to 161,976 and 340,332 is: 715,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,976 : 340,332 = 340,332 : x
  2. Step 2: Convert to fraction form
    161,976/340,332 = 340,332/x
  3. Step 3: Cross multiply
    161,976x = 340,332 × 340,332
  4. Step 4: Simplify right side
    161,976x = 115,825,870,224
  5. Step 5: Solve for x
    x = 115,825,870,224/161,976
  6. Step 6: Final answer
    x = 715,080.45

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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.