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Finding the Third Proportional to 148,316.25 and 324,739.50

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Solution

The third proportional to 148,316.25 and 324,739.50 is: 711,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,316.25 : 324,739.50 = 324,739.50 : x
  2. Step 2: Convert to fraction form
    148,316.25/324,739.50 = 324,739.50/x
  3. Step 3: Cross multiply
    148,316.25x = 324,739.50 × 324,739.50
  4. Step 4: Simplify right side
    148,316.25x = 105,455,742,860.25
  5. Step 5: Solve for x
    x = 105,455,742,860.25/148,316.25
  6. Step 6: Final answer
    x = 711,019.48

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Why These Related Problems?

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