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Finding the Third Proportional to 183,304.50 and 276,132

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Solution

The third proportional to 183,304.50 and 276,132 is: 415,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,304.50 : 276,132 = 276,132 : x
  2. Step 2: Convert to fraction form
    183,304.50/276,132 = 276,132/x
  3. Step 3: Cross multiply
    183,304.50x = 276,132 × 276,132
  4. Step 4: Simplify right side
    183,304.50x = 76,248,881,424
  5. Step 5: Solve for x
    x = 76,248,881,424/183,304.50
  6. Step 6: Final answer
    x = 415,968.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.