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Finding the Third Proportional to 151,465.50 and 332,305.50

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Solution

The third proportional to 151,465.50 and 332,305.50 is: 729,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,465.50 : 332,305.50 = 332,305.50 : x
  2. Step 2: Convert to fraction form
    151,465.50/332,305.50 = 332,305.50/x
  3. Step 3: Cross multiply
    151,465.50x = 332,305.50 × 332,305.50
  4. Step 4: Simplify right side
    151,465.50x = 110,426,945,330.25
  5. Step 5: Solve for x
    x = 110,426,945,330.25/151,465.50
  6. Step 6: Final answer
    x = 729,056.75

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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.