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Finding the Third Proportional to 132,961.50 and 288,076.50

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Solution

The third proportional to 132,961.50 and 288,076.50 is: 624,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,961.50 : 288,076.50 = 288,076.50 : x
  2. Step 2: Convert to fraction form
    132,961.50/288,076.50 = 288,076.50/x
  3. Step 3: Cross multiply
    132,961.50x = 288,076.50 × 288,076.50
  4. Step 4: Simplify right side
    132,961.50x = 82,988,069,852.25
  5. Step 5: Solve for x
    x = 82,988,069,852.25/132,961.50
  6. Step 6: Final answer
    x = 624,151.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.