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Finding the Third Proportional to 152,009 and 332,585

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Solution

The third proportional to 152,009 and 332,585 is: 727,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,009 : 332,585 = 332,585 : x
  2. Step 2: Convert to fraction form
    152,009/332,585 = 332,585/x
  3. Step 3: Cross multiply
    152,009x = 332,585 × 332,585
  4. Step 4: Simplify right side
    152,009x = 110,612,782,225
  5. Step 5: Solve for x
    x = 110,612,782,225/152,009
  6. Step 6: Final answer
    x = 727,672.59

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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.