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Finding the Third Proportional to 134,983.50 and 295,392

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Solution

The third proportional to 134,983.50 and 295,392 is: 646,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,983.50 : 295,392 = 295,392 : x
  2. Step 2: Convert to fraction form
    134,983.50/295,392 = 295,392/x
  3. Step 3: Cross multiply
    134,983.50x = 295,392 × 295,392
  4. Step 4: Simplify right side
    134,983.50x = 87,256,433,664
  5. Step 5: Solve for x
    x = 87,256,433,664/134,983.50
  6. Step 6: Final answer
    x = 646,422.96

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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.