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Finding the Third Proportional to 153,764 and 332,799.50

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Solution

The third proportional to 153,764 and 332,799.50 is: 720,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764 : 332,799.50 = 332,799.50 : x
  2. Step 2: Convert to fraction form
    153,764/332,799.50 = 332,799.50/x
  3. Step 3: Cross multiply
    153,764x = 332,799.50 × 332,799.50
  4. Step 4: Simplify right side
    153,764x = 110,755,507,200.25
  5. Step 5: Solve for x
    x = 110,755,507,200.25/153,764
  6. Step 6: Final answer
    x = 720,295.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.