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Finding the Third Proportional to 147,811.75 and 324,237.50

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Solution

The third proportional to 147,811.75 and 324,237.50 is: 711,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811.75 : 324,237.50 = 324,237.50 : x
  2. Step 2: Convert to fraction form
    147,811.75/324,237.50 = 324,237.50/x
  3. Step 3: Cross multiply
    147,811.75x = 324,237.50 × 324,237.50
  4. Step 4: Simplify right side
    147,811.75x = 105,129,956,406.25
  5. Step 5: Solve for x
    x = 105,129,956,406.25/147,811.75
  6. Step 6: Final answer
    x = 711,242.21

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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.