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Finding the Third Proportional to 147,811.50 and 324,235.69

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Solution

The third proportional to 147,811.50 and 324,235.69 is: 711,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811.50 : 324,235.69 = 324,235.69 : x
  2. Step 2: Convert to fraction form
    147,811.50/324,235.69 = 324,235.69/x
  3. Step 3: Cross multiply
    147,811.50x = 324,235.69 × 324,235.69
  4. Step 4: Simplify right side
    147,811.50x = 105,128,781,048.60
  5. Step 5: Solve for x
    x = 105,128,781,048.60/147,811.50
  6. Step 6: Final answer
    x = 711,235.47

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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.