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Finding the Third Proportional to 151,135 and 330,998

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Solution

The third proportional to 151,135 and 330,998 is: 724,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,135 : 330,998 = 330,998 : x
  2. Step 2: Convert to fraction form
    151,135/330,998 = 330,998/x
  3. Step 3: Cross multiply
    151,135x = 330,998 × 330,998
  4. Step 4: Simplify right side
    151,135x = 109,559,676,004
  5. Step 5: Solve for x
    x = 109,559,676,004/151,135
  6. Step 6: Final answer
    x = 724,912.67

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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.