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Finding the Third Proportional to 163,980 and 360,060

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Solution

The third proportional to 163,980 and 360,060 is: 790,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,980 : 360,060 = 360,060 : x
  2. Step 2: Convert to fraction form
    163,980/360,060 = 360,060/x
  3. Step 3: Cross multiply
    163,980x = 360,060 × 360,060
  4. Step 4: Simplify right side
    163,980x = 129,643,203,600
  5. Step 5: Solve for x
    x = 129,643,203,600/163,980
  6. Step 6: Final answer
    x = 790,603.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.