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Finding the Third Proportional to 132,256.50 and 290,754

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Solution

The third proportional to 132,256.50 and 290,754 is: 639,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,256.50 : 290,754 = 290,754 : x
  2. Step 2: Convert to fraction form
    132,256.50/290,754 = 290,754/x
  3. Step 3: Cross multiply
    132,256.50x = 290,754 × 290,754
  4. Step 4: Simplify right side
    132,256.50x = 84,537,888,516
  5. Step 5: Solve for x
    x = 84,537,888,516/132,256.50
  6. Step 6: Final answer
    x = 639,196.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.