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Finding the Third Proportional to 132,514.50 and 287,611.50

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Solution

The third proportional to 132,514.50 and 287,611.50 is: 624,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,514.50 : 287,611.50 = 287,611.50 : x
  2. Step 2: Convert to fraction form
    132,514.50/287,611.50 = 287,611.50/x
  3. Step 3: Cross multiply
    132,514.50x = 287,611.50 × 287,611.50
  4. Step 4: Simplify right side
    132,514.50x = 82,720,374,932.25
  5. Step 5: Solve for x
    x = 82,720,374,932.25/132,514.50
  6. Step 6: Final answer
    x = 624,236.40

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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.