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Finding the Third Proportional to 132,914 and 291,663.50

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Solution

The third proportional to 132,914 and 291,663.50 is: 640,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914 : 291,663.50 = 291,663.50 : x
  2. Step 2: Convert to fraction form
    132,914/291,663.50 = 291,663.50/x
  3. Step 3: Cross multiply
    132,914x = 291,663.50 × 291,663.50
  4. Step 4: Simplify right side
    132,914x = 85,067,597,232.25
  5. Step 5: Solve for x
    x = 85,067,597,232.25/132,914
  6. Step 6: Final answer
    x = 640,019.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.