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Finding the Third Proportional to 131,772 and 278,232

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Solution

The third proportional to 131,772 and 278,232 is: 587,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,772 : 278,232 = 278,232 : x
  2. Step 2: Convert to fraction form
    131,772/278,232 = 278,232/x
  3. Step 3: Cross multiply
    131,772x = 278,232 × 278,232
  4. Step 4: Simplify right side
    131,772x = 77,413,045,824
  5. Step 5: Solve for x
    x = 77,413,045,824/131,772
  6. Step 6: Final answer
    x = 587,477.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.