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Finding the Third Proportional to 151,703.50 and 332,566.25

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Solution

The third proportional to 151,703.50 and 332,566.25 is: 729,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,703.50 : 332,566.25 = 332,566.25 : x
  2. Step 2: Convert to fraction form
    151,703.50/332,566.25 = 332,566.25/x
  3. Step 3: Cross multiply
    151,703.50x = 332,566.25 × 332,566.25
  4. Step 4: Simplify right side
    151,703.50x = 110,600,310,639.06
  5. Step 5: Solve for x
    x = 110,600,310,639.06/151,703.50
  6. Step 6: Final answer
    x = 729,055.76

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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.