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Finding the Third Proportional to 151,943 and 332,515

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Solution

The third proportional to 151,943 and 332,515 is: 727,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,943 : 332,515 = 332,515 : x
  2. Step 2: Convert to fraction form
    151,943/332,515 = 332,515/x
  3. Step 3: Cross multiply
    151,943x = 332,515 × 332,515
  4. Step 4: Simplify right side
    151,943x = 110,566,225,225
  5. Step 5: Solve for x
    x = 110,566,225,225/151,943
  6. Step 6: Final answer
    x = 727,682.26

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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.