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Finding the Third Proportional to 133,962 and 286,348.50

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Solution

The third proportional to 133,962 and 286,348.50 is: 612,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 286,348.50 = 286,348.50 : x
  2. Step 2: Convert to fraction form
    133,962/286,348.50 = 286,348.50/x
  3. Step 3: Cross multiply
    133,962x = 286,348.50 × 286,348.50
  4. Step 4: Simplify right side
    133,962x = 81,995,463,452.25
  5. Step 5: Solve for x
    x = 81,995,463,452.25/133,962
  6. Step 6: Final answer
    x = 612,080.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.