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Finding the Third Proportional to 152,005 and 332,577

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Solution

The third proportional to 152,005 and 332,577 is: 727,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005 : 332,577 = 332,577 : x
  2. Step 2: Convert to fraction form
    152,005/332,577 = 332,577/x
  3. Step 3: Cross multiply
    152,005x = 332,577 × 332,577
  4. Step 4: Simplify right side
    152,005x = 110,607,460,929
  5. Step 5: Solve for x
    x = 110,607,460,929/152,005
  6. Step 6: Final answer
    x = 727,656.73

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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.