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Finding the Third Proportional to 132,682.50 and 291,429

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Solution

The third proportional to 132,682.50 and 291,429 is: 640,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,682.50 : 291,429 = 291,429 : x
  2. Step 2: Convert to fraction form
    132,682.50/291,429 = 291,429/x
  3. Step 3: Cross multiply
    132,682.50x = 291,429 × 291,429
  4. Step 4: Simplify right side
    132,682.50x = 84,930,862,041
  5. Step 5: Solve for x
    x = 84,930,862,041/132,682.50
  6. Step 6: Final answer
    x = 640,105.98

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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.