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Finding the Third Proportional to 151,998.19 and 329,956.88

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Solution

The third proportional to 151,998.19 and 329,956.88 is: 716,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,998.19 : 329,956.88 = 329,956.88 : x
  2. Step 2: Convert to fraction form
    151,998.19/329,956.88 = 329,956.88/x
  3. Step 3: Cross multiply
    151,998.19x = 329,956.88 × 329,956.88
  4. Step 4: Simplify right side
    151,998.19x = 108,871,539,359.77
  5. Step 5: Solve for x
    x = 108,871,539,359.77/151,998.19
  6. Step 6: Final answer
    x = 716,268.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.