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Finding the Third Proportional to 153,777.50 and 332,827

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Solution

The third proportional to 153,777.50 and 332,827 is: 720,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,777.50 : 332,827 = 332,827 : x
  2. Step 2: Convert to fraction form
    153,777.50/332,827 = 332,827/x
  3. Step 3: Cross multiply
    153,777.50x = 332,827 × 332,827
  4. Step 4: Simplify right side
    153,777.50x = 110,773,811,929
  5. Step 5: Solve for x
    x = 110,773,811,929/153,777.50
  6. Step 6: Final answer
    x = 720,351.23

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Why These Related Problems?

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