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Finding the Third Proportional to 78,483 and 169,601.50

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Solution

The third proportional to 78,483 and 169,601.50 is: 366,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483 : 169,601.50 = 169,601.50 : x
  2. Step 2: Convert to fraction form
    78,483/169,601.50 = 169,601.50/x
  3. Step 3: Cross multiply
    78,483x = 169,601.50 × 169,601.50
  4. Step 4: Simplify right side
    78,483x = 28,764,668,802.25
  5. Step 5: Solve for x
    x = 28,764,668,802.25/78,483
  6. Step 6: Final answer
    x = 366,508.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.