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Finding the Third Proportional to 148,836 and 325,615.50

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Solution

The third proportional to 148,836 and 325,615.50 is: 712,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,836 : 325,615.50 = 325,615.50 : x
  2. Step 2: Convert to fraction form
    148,836/325,615.50 = 325,615.50/x
  3. Step 3: Cross multiply
    148,836x = 325,615.50 × 325,615.50
  4. Step 4: Simplify right side
    148,836x = 106,025,453,840.25
  5. Step 5: Solve for x
    x = 106,025,453,840.25/148,836
  6. Step 6: Final answer
    x = 712,364.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.